Greatest Common Factor of 7994/917, 5356/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7994/917, 5356/972

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 7994/917,5356/972

Given fractions are 7994/917,5356/972

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 7994,5356

Greatest Common Factor of Numerators i.e. GCF of 7994,5356 is 2 .

LCM of Denominators means LCM of 917,972 as per the given fractions.

LCM of 917,972 is 891324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7994,5356

GCF of Fractions 7994/917,5356/972 is 2/891324

2 7994, 5356
3997, 2678

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

Greatest Common Factor of 7994,5356 By Matching Biggest Common Factor Method

Greatest Common Factor of 7994,5356 By Matching Biggest Common Factor Method

Factors of 7994

List of positive integer factors of 7994 that divides 7994 without a remainder.

1,2,7,14,571,1142,3997,7994

Factors of 5356

List of positive integer factors of 5356 that divides 5356 without a remainder.

1,2,4,13,26,52,103,206,412,1339,2678,5356

Greatest Common Factor

We found the factors 7994,5356 . The biggest common factor number is the GCF number.
So the greatest common factor 7994,5356 is 2.

Lets's calculate LCM of 917,972

Given numbers has no common factors except 1. So, there LCM is their product i.e 891324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/891324

Therefore, the GCF of Fractions 7994/917,5356/972 is 2/891324

Least Common Multiple of 917,972 with GCF Formula

Least Common Multiple of 917,972 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 917,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(917,972) = 1

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

GCF(917,972) x common factors =1 x 1 = 1

LCM(917,972) = ( 917 × 972 ) / 1

LCM(917,972) = 891324 / 1

LCM(917,972) = 891324


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 7994/917, 5356/972

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 7994/917, 5356/972?

Answer: GCF of Numerators as per given numbers 7994/917, 5356/972 is

GCF of Numerators i.e. for 7994,5356 is 2

LCM of denominators i.e. for 917,972 is 891324.

Thus, GCF of Fractions is 2/891324.Finally, GCF of Fractions for 7994/917, 5356/972 is 2/891324.