Greatest Common Factor of 2478/497, 5511/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2478/497, 5511/971

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 2478/497,5511/971

Given fractions are 2478/497,5511/971

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 2478,5511

Greatest Common Factor of Numerators i.e. GCF of 2478,5511 is 3 .

LCM of Denominators means LCM of 497,971 as per the given fractions.

LCM of 497,971 is 482587 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2478,5511

GCF of Fractions 2478/497,5511/971 is 3/482587

3 2478, 5511
826, 1837

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

Greatest Common Factor of 2478,5511 By Matching Biggest Common Factor Method

Greatest Common Factor of 2478,5511 By Matching Biggest Common Factor Method

Factors of 2478

List of positive integer factors of 2478 that divides 2478 without a remainder.

1,2,3,6,7,14,21,42,59,118,177,354,413,826,1239,2478

Factors of 5511

List of positive integer factors of 5511 that divides 5511 without a remainder.

1,3,11,33,167,501,1837,5511

Greatest Common Factor

We found the factors 2478,5511 . The biggest common factor number is the GCF number.
So the greatest common factor 2478,5511 is 3.

Lets's calculate LCM of 497,971

Given numbers has no common factors except 1. So, there LCM is their product i.e 482587

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/482587

Therefore, the GCF of Fractions 2478/497,5511/971 is 3/482587

Least Common Multiple of 497,971 with GCF Formula

Least Common Multiple of 497,971 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 497,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,971) = 1

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

GCF(497,971) x common factors =1 x 1 = 1

LCM(497,971) = ( 497 × 971 ) / 1

LCM(497,971) = 482587 / 1

LCM(497,971) = 482587


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 2478/497, 5511/971

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 2478/497, 5511/971?

Answer: GCF of Numerators as per given numbers 2478/497, 5511/971 is

GCF of Numerators i.e. for 2478,5511 is 3

LCM of denominators i.e. for 497,971 is 482587.

Thus, GCF of Fractions is 3/482587.Finally, GCF of Fractions for 2478/497, 5511/971 is 3/482587.