Greatest Common Factor of 2420/276, 6772/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2420/276, 6772/501

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 2420/276,6772/501

Given fractions are 2420/276,6772/501

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 2420,6772

Greatest Common Factor of Numerators i.e. GCF of 2420,6772 is 4 .

LCM of Denominators means LCM of 276,501 as per the given fractions.

LCM of 276,501 is 46092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2420,6772

GCF of Fractions 2420/276,6772/501 is 4/46092

2 2420, 6772
2 1210, 3386
605, 1693

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2420,6772 By Matching Biggest Common Factor Method

Greatest Common Factor of 2420,6772 By Matching Biggest Common Factor Method

Factors of 2420

List of positive integer factors of 2420 that divides 2420 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,121,220,242,484,605,1210,2420

Factors of 6772

List of positive integer factors of 6772 that divides 6772 without a remainder.

1,2,4,1693,3386,6772

Greatest Common Factor

We found the factors 2420,6772 . The biggest common factor number is the GCF number.
So the greatest common factor 2420,6772 is 4.

Lets's calculate LCM of 276,501

3 276, 501
92, 167

∴ So the LCM of the given numbers is 3 x 92 x 167 = 46092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/46092

Therefore, the GCF of Fractions 2420/276,6772/501 is 4/46092

Least Common Multiple of 276,501 with GCF Formula

Least Common Multiple of 276,501 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 276,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,501) = 3

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

GCF(276,501) x common factors =3 x 1 = 3

LCM(276,501) = ( 276 × 501 ) / 3

LCM(276,501) = 138276 / 3

LCM(276,501) = 46092


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 2420/276, 6772/501

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 2420/276, 6772/501?

Answer: GCF of Numerators as per given numbers 2420/276, 6772/501 is

GCF of Numerators i.e. for 2420,6772 is 4

LCM of denominators i.e. for 276,501 is 46092.

Thus, GCF of Fractions is 4/46092.Finally, GCF of Fractions for 2420/276, 6772/501 is 4/46092.