Greatest Common Factor of 9832/266, 7952/1656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9832/266, 7952/1656

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 9832/266,7952/1656

Given fractions are 9832/266,7952/1656

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 9832,7952

Greatest Common Factor of Numerators i.e. GCF of 9832,7952 is 8 .

LCM of Denominators means LCM of 266,1656 as per the given fractions.

LCM of 266,1656 is 220248 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9832,7952

GCF of Fractions 9832/266,7952/1656 is 8/220248

2 9832, 7952
2 4916, 3976
2 2458, 1988
1229, 994

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 9832,7952 By Matching Biggest Common Factor Method

Greatest Common Factor of 9832,7952 By Matching Biggest Common Factor Method

Factors of 9832

List of positive integer factors of 9832 that divides 9832 without a remainder.

1,2,4,8,1229,2458,4916,9832

Factors of 7952

List of positive integer factors of 7952 that divides 7952 without a remainder.

1,2,4,7,8,14,16,28,56,71,112,142,284,497,568,994,1136,1988,3976,7952

Greatest Common Factor

We found the factors 9832,7952 . The biggest common factor number is the GCF number.
So the greatest common factor 9832,7952 is 8.

Lets's calculate LCM of 266,1656

2 266, 1656
133, 828

∴ So the LCM of the given numbers is 2 x 133 x 828 = 220248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/220248

Therefore, the GCF of Fractions 9832/266,7952/1656 is 8/220248

Least Common Multiple of 266,1656 with GCF Formula

Least Common Multiple of 266,1656 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 266,1656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(266,1656) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(266,1656) x common factors =2 x 1 = 2

LCM(266,1656) = ( 266 × 1656 ) / 2

LCM(266,1656) = 440496 / 2

LCM(266,1656) = 220248


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9832/266, 7952/1656

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 9832/266, 7952/1656?

Answer: GCF of Numerators as per given numbers 9832/266, 7952/1656 is

GCF of Numerators i.e. for 9832,7952 is 8

LCM of denominators i.e. for 266,1656 is 220248.

Thus, GCF of Fractions is 8/220248.Finally, GCF of Fractions for 9832/266, 7952/1656 is 8/220248.