Greatest Common Factor of 644/49, 276/121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 644/49, 276/121

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 644/49,276/121

Given fractions are 644/49,276/121

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 644,276

Greatest Common Factor of Numerators i.e. GCF of 644,276 is 92 .

LCM of Denominators means LCM of 49,121 as per the given fractions.

LCM of 49,121 is 5929 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 644,276

GCF of Fractions 644/49,276/121 is 92/5929

2 644, 276
2 322, 138
23 161, 69
7, 3

∴ So the GCF of the given numbers is 2 x 2 x 23 = 92

Greatest Common Factor of 644,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,276 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 644,276 . The biggest common factor number is the GCF number.
So the greatest common factor 644,276 is 92.

Lets's calculate LCM of 49,121

Given numbers has no common factors except 1. So, there LCM is their product i.e 5929

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 92/5929

Therefore, the GCF of Fractions 644/49,276/121 is 92/5929

Least Common Multiple of 49,121 with GCF Formula

Least Common Multiple of 49,121 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 49,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,121) = 1

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

GCF(49,121) x common factors =1 x 1 = 1

LCM(49,121) = ( 49 × 121 ) / 1

LCM(49,121) = 5929 / 1

LCM(49,121) = 5929


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 644/49, 276/121

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 644/49, 276/121?

Answer: GCF of Numerators as per given numbers 644/49, 276/121 is

GCF of Numerators i.e. for 644,276 is 92

LCM of denominators i.e. for 49,121 is 5929.

Thus, GCF of Fractions is 92/5929.Finally, GCF of Fractions for 644/49, 276/121 is 92/5929.