Greatest Common Factor of 4972/54, 9658/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4972/54, 9658/471

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 4972/54,9658/471

Given fractions are 4972/54,9658/471

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 4972,9658

Greatest Common Factor of Numerators i.e. GCF of 4972,9658 is 22 .

LCM of Denominators means LCM of 54,471 as per the given fractions.

LCM of 54,471 is 8478 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4972,9658

GCF of Fractions 4972/54,9658/471 is 22/8478

2 4972, 9658
11 2486, 4829
226, 439

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 4972,9658 By Matching Biggest Common Factor Method

Greatest Common Factor of 4972,9658 By Matching Biggest Common Factor Method

Factors of 4972

List of positive integer factors of 4972 that divides 4972 without a remainder.

1,2,4,11,22,44,113,226,452,1243,2486,4972

Factors of 9658

List of positive integer factors of 9658 that divides 9658 without a remainder.

1,2,11,22,439,878,4829,9658

Greatest Common Factor

We found the factors 4972,9658 . The biggest common factor number is the GCF number.
So the greatest common factor 4972,9658 is 22.

Lets's calculate LCM of 54,471

3 54, 471
18, 157

∴ So the LCM of the given numbers is 3 x 18 x 157 = 8478

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/8478

Therefore, the GCF of Fractions 4972/54,9658/471 is 22/8478

Least Common Multiple of 54,471 with GCF Formula

Least Common Multiple of 54,471 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 54,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,471) = 3

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

GCF(54,471) x common factors =3 x 1 = 3

LCM(54,471) = ( 54 × 471 ) / 3

LCM(54,471) = 25434 / 3

LCM(54,471) = 8478


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 4972/54, 9658/471

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 4972/54, 9658/471?

Answer: GCF of Numerators as per given numbers 4972/54, 9658/471 is

GCF of Numerators i.e. for 4972,9658 is 22

LCM of denominators i.e. for 54,471 is 8478.

Thus, GCF of Fractions is 22/8478.Finally, GCF of Fractions for 4972/54, 9658/471 is 22/8478.