Greatest Common Factor of 5913/64, 6876/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5913/64, 6876/441

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 5913/64,6876/441

Given fractions are 5913/64,6876/441

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 5913,6876

Greatest Common Factor of Numerators i.e. GCF of 5913,6876 is 9 .

LCM of Denominators means LCM of 64,441 as per the given fractions.

LCM of 64,441 is 28224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5913,6876

GCF of Fractions 5913/64,6876/441 is 9/28224

3 5913, 6876
3 1971, 2292
657, 764

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 5913,6876 By Matching Biggest Common Factor Method

Greatest Common Factor of 5913,6876 By Matching Biggest Common Factor Method

Factors of 5913

List of positive integer factors of 5913 that divides 5913 without a remainder.

1,3,9,27,73,81,219,657,1971,5913

Factors of 6876

List of positive integer factors of 6876 that divides 6876 without a remainder.

1,2,3,4,6,9,12,18,36,191,382,573,764,1146,1719,2292,3438,6876

Greatest Common Factor

We found the factors 5913,6876 . The biggest common factor number is the GCF number.
So the greatest common factor 5913,6876 is 9.

Lets's calculate LCM of 64,441

Given numbers has no common factors except 1. So, there LCM is their product i.e 28224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/28224

Therefore, the GCF of Fractions 5913/64,6876/441 is 9/28224

Least Common Multiple of 64,441 with GCF Formula

Least Common Multiple of 64,441 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 64,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,441) = 1

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

GCF(64,441) x common factors =1 x 1 = 1

LCM(64,441) = ( 64 × 441 ) / 1

LCM(64,441) = 28224 / 1

LCM(64,441) = 28224


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 5913/64, 6876/441

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 5913/64, 6876/441?

Answer: GCF of Numerators as per given numbers 5913/64, 6876/441 is

GCF of Numerators i.e. for 5913,6876 is 9

LCM of denominators i.e. for 64,441 is 28224.

Thus, GCF of Fractions is 9/28224.Finally, GCF of Fractions for 5913/64, 6876/441 is 9/28224.