Greatest Common Factor of 9471/907, 7964/5507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9471/907, 7964/5507

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 9471/907,7964/5507

Given fractions are 9471/907,7964/5507

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 9471,7964

Greatest Common Factor of Numerators i.e. GCF of 9471,7964 is 11 .

LCM of Denominators means LCM of 907,5507 as per the given fractions.

LCM of 907,5507 is 4994849 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9471,7964

GCF of Fractions 9471/907,7964/5507 is 11/4994849

11 9471, 7964
861, 724

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 9471,7964 By Matching Biggest Common Factor Method

Greatest Common Factor of 9471,7964 By Matching Biggest Common Factor Method

Factors of 9471

List of positive integer factors of 9471 that divides 9471 without a remainder.

1,3,7,11,21,33,41,77,123,231,287,451,861,1353,3157,9471

Factors of 7964

List of positive integer factors of 7964 that divides 7964 without a remainder.

1,2,4,11,22,44,181,362,724,1991,3982,7964

Greatest Common Factor

We found the factors 9471,7964 . The biggest common factor number is the GCF number.
So the greatest common factor 9471,7964 is 11.

Lets's calculate LCM of 907,5507

Given numbers has no common factors except 1. So, there LCM is their product i.e 4994849

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/4994849

Therefore, the GCF of Fractions 9471/907,7964/5507 is 11/4994849

Least Common Multiple of 907,5507 with GCF Formula

Least Common Multiple of 907,5507 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 907,5507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(907,5507) = 1

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

GCF(907,5507) x common factors =1 x 1 = 1

LCM(907,5507) = ( 907 × 5507 ) / 1

LCM(907,5507) = 4994849 / 1

LCM(907,5507) = 4994849


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 9471/907, 7964/5507

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 9471/907, 7964/5507?

Answer: GCF of Numerators as per given numbers 9471/907, 7964/5507 is

GCF of Numerators i.e. for 9471,7964 is 11

LCM of denominators i.e. for 907,5507 is 4994849.

Thus, GCF of Fractions is 11/4994849.Finally, GCF of Fractions for 9471/907, 7964/5507 is 11/4994849.