Greatest Common Factor of 643/76, 656/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 643/76, 656/944

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 643/76,656/944

Given fractions are 643/76,656/944

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 643,656

Greatest Common Factor of Numerators i.e. GCF of 643,656 is 1 .

LCM of Denominators means LCM of 76,944 as per the given fractions.

LCM of 76,944 is 17936 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 643,656

GCF of Fractions 643/76,656/944 is 1/17936

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 643,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 643,656 By Matching Biggest Common Factor Method

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 643,656 . The biggest common factor number is the GCF number.
So the greatest common factor 643,656 is 1.

Lets's calculate LCM of 76,944

2 76, 944
2 38, 472
19, 236

∴ So the LCM of the given numbers is 2 x 2 x 19 x 236 = 17936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17936

Therefore, the GCF of Fractions 643/76,656/944 is 1/17936

Least Common Multiple of 76,944 with GCF Formula

Least Common Multiple of 76,944 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 76,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,944) = 4

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

GCF(76,944) x common factors =4 x 1 = 4

LCM(76,944) = ( 76 × 944 ) / 4

LCM(76,944) = 71744 / 4

LCM(76,944) = 17936


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 643/76, 656/944

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 643/76, 656/944?

Answer: GCF of Numerators as per given numbers 643/76, 656/944 is

GCF of Numerators i.e. for 643,656 is 1

LCM of denominators i.e. for 76,944 is 17936.

Thus, GCF of Fractions is 1/17936.Finally, GCF of Fractions for 643/76, 656/944 is 1/17936.