Greatest Common Factor of 51/22, 108/98, 501/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 51/22, 108/98, 501/759

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 51/22,108/98,501/759

Given fractions are 51/22,108/98,501/759

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 51,108,501

Greatest Common Factor of Numerators i.e. GCF of 51,108,501 is 3 .

LCM of Denominators means LCM of 22,98,759 as per the given fractions.

LCM of 22,98,759 is 74382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 51,108,501

GCF of Fractions 51/22,108/98,501/759 is 3/74382

3 51, 108, 501
17, 36, 167

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

Greatest Common Factor of 51,108,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,108,501 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Greatest Common Factor

We found the factors 51,108,501 . The biggest common factor number is the GCF number.
So the greatest common factor 51,108,501 is 3.

Lets's calculate LCM of 22,98,759

2 22, 98, 759
11 11, 49, 759
1, 49, 69

∴ So the LCM of the given numbers is 2 x 11 x 1 x 49 x 69 = 74382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/74382

Therefore, the GCF of Fractions 51/22,108/98,501/759 is 3/74382

Least Common Multiple of 22,98,759 with GCF Formula

Least Common Multiple of 22,98,759 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 22,98,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,98,759) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(22,98,759) x common factors =1 x 22 = 22

LCM(22,98,759) = ( 22 × 98 × 759 ) / 22

LCM(22,98,759) = 1636404 / 22

LCM(22,98,759) = 74382


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 51/22, 108/98, 501/759

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 51/22, 108/98, 501/759?

Answer: GCF of Numerators as per given numbers 51/22, 108/98, 501/759 is

GCF of Numerators i.e. for 51,108,501 is 3

LCM of denominators i.e. for 22,98,759 is 74382.

Thus, GCF of Fractions is 3/74382.Finally, GCF of Fractions for 51/22, 108/98, 501/759 is 3/74382.