What is GCF in Math

Introduction to gcf in math:

In mathematics, Gcf is used to simplify the common fractions and carrying out basic operations. The greatest common divisor (gcd), as well-known as the greatest common factor (gcf), greatest common denominator, or highest common factor (hcf), of two or more non-zero integers, is the largest positive integer that divide the numbers without a remainder. In mathematics “Greatest Common Factor” short form gcf. GCF of those numbers is largest factor which commonly divides the specified set of numbers (two or more).


Examples problem for gcf in math:


1. Find the gcf of 8, 10, 6, 14 and 16.

Solution:

Given numbers are 8, 10, 6, 14 and 16.

The Greatest Common Factor (GCF) of the numbers 8, 10, 6, 14 and 16 is 2.

2 is the greatest number that divides common into all of them.

Gcf of this problem is 2.

2. Find the gcf of 150, 250,300 and 350.

Solution:

Given numbers are 150, 250, 300 and 350.

The Greatest Common Factor (GCF) of the numbers 150, 250, 300 and 350 is 50.

50 is the greatest number that divides common into all of them.

Gcf of this problem is 50.

3. Find the gcf of 25, 55, 17, 16 and 50.

Solution:

Given numbers are 25, 55, 17, 16 and 50.

The Greatest Common Factor (GCF) of the numbers 25, 55, 17, 16 and 50 is 1.

1 is the greatest number that divides common into all of them.

Gcf of this problem is 1.

4. Find the gcf of 15, 45, 18, 27 and 60.

Solution:

Given numbers are 15, 45, 18, 27 and 60.

The Greatest Common Factor (GCF) of the numbers 15, 45, 18, 27 and 60 is 3.

3 is the greatest number that divides common into all of them.

Gcf of this problem is 3.

5. Find the gcf of 10, 30, 50, 70 and 80.

Solution:

Given numbers are 10, 30, 50, 70 and 80.

The Greatest Common Factor (GCF) of the numbers 10, 30, 50, 70 and 80 is 10.

10 is the greatest number that divides common into all of them.

Gcf of this problem is 10.

6. Find the Greatest Common Factor (gcf) of 14, 24 and 42.

lowest Factors of 14: 1,2,7,14
lowest Factors of  24 : 1, 2,4, 6,8,12,24
lowest Factors of  42  : 1, 2, 3, 6, 7, 14, 21, 42

Common Factors: 1, 2.
1, 2 divides 14, 24, 42 therefore they are common factors.

Answers for gcf = 2

Understanding Finding Common Factors is always challenging for me but thanks to all math help websites to help me out.

Practice problems for gcf in math:


1. Find the gcf of 20, 52, 10, 16 and 50.

Answers for gcf = 2

2. Find the gcf of 25, 55, 15, 35 and 50.

Answers for gcf = 5

3. Find the gcf of 6, 12, 15, 21 and 30.

Answers for gcf = 3

Help Kids in Math

Introduction to help kids in math:
Mathematics is a group of terms which is used to declare various functions. In general mathematics is always based on the number system formats .
The following areas are covered in mathematics,they are integers, fractions, number types,algebra problems, geometry problems, measurement of shapes, trigonometry and calculus an etc.. Here, in this article will help kids to learn math.

Math topics with examples to help kids:


Here are some basic math topics to help kids.

Number system:

In number system we have many numbers to describe,they are

Positive number:

Positive number is a number which identified by the symbol  '+' . Generally the number starts with 1,2,3...

Example: 4+ 6 = 10   ( the result is also a positive number)

Negative number:

Negative number is a number which identified by the symbol ' - '. These numbers are starting with  -1 , -2 , -3 ....

Example : -4 + -6 = -10.

Fractions:

Fraction is a whole number which consist of two parts, they are numerator ( top part )  and the denominator ( the bottom part)

normally the numerator is greater than the denominator.

Example: 10 / 2.

Arithmetic operations:

The following operations are called arithmetic operations, they are , Addition, subtraction, multiplication and division.

Examples:

Addition:

Its a normal addition, just add the given values and place the larger number symbol

10 + 20 = 30

Subtraction:

Its a normal subtraction, just subtract the smaller number from the larger number and place the larger number symbol at the result.

10 - 20 = -10 .

Multiplication:

multiplication is a process of product the given values.

5 * 4 = 20 ( positive * positive =positive )

5 * (-4) =  -20 ) ( positive * negative = negative )

- 5 * 4 = -20 ( negative * positive = negative )

-5 * -4 20 ( negative * negative =positive )

Division:

Division properties also same like multiplication.

Example: 10 / 2  = 5.


Example math problems to help kids:


Let we see some algebra problems to help kids:

Solve the problem using order of operation method.

5( 2+3) - 10 +3( 5-2)

Solution:

step1 : As per the order of operations rule, we need to take the parentheses values

= 5 ( 2+3) - 10 + 3 (5-2)

= 5(5) - 10 +3 (3)

step2 : Multiply the values

= 25 - 10 +9

step3: add the values

= 25 +9 -10

= 34 - 10

step4 : subtract the values

= 24.

Math problem 2 ) 3x  - 5  =  25 where x = 10, check whether the x value satisfy the equation

solution: apply the x value in the above equation

3x - 5 = 25

3 ( 10 ) - 5  = 25

30 -5 =25

25 = 25 .

Answer : The x value is true and its satisfy the equation.

Solve : 3x + 6 = 12 -3x, find x value.

Solution:

step1: group the terms,we get

3x +3x = 12 - 6

6x = 6

step2:  divide by 6 on both sides,we get

6x / 6 = 6/6

x =1 .

Math problem3 )  a+ 2a+3a+4a+5a+6a -84 = 0 find the value of a.

Solution:

step1 : add all the coefficients of a ,we get

= a + 2a+3a+4a+5a+6a -84=0

21a - 84 = 0

step2: add 84 on both sides, we get

21a - 84 +84 = 0+ 84

21a = 84

step3: divide by 21 on both sides,we get

21a /21 = 84 / 21

a = 4