Greatest Common Factor of 79/51, 39/14, 508/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 79/51, 39/14, 508/221

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 79/51,39/14,508/221

Given fractions are 79/51,39/14,508/221

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 79,39,508

Greatest Common Factor of Numerators i.e. GCF of 79,39,508 is 1 .

LCM of Denominators means LCM of 51,14,221 as per the given fractions.

LCM of 51,14,221 is 9282 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 79,39,508

GCF of Fractions 79/51,39/14,508/221 is 1/9282

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 79,39,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,39,508 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 79,39,508 . The biggest common factor number is the GCF number.
So the greatest common factor 79,39,508 is 1.

Lets's calculate LCM of 51,14,221

17 51, 14, 221
3, 14, 13

∴ So the LCM of the given numbers is 17 x 3 x 14 x 13 = 9282

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9282

Therefore, the GCF of Fractions 79/51,39/14,508/221 is 1/9282

Least Common Multiple of 51,14,221 with GCF Formula

Least Common Multiple of 51,14,221 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 51,14,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,14,221) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(51,14,221) x common factors =1 x 17 = 17

LCM(51,14,221) = ( 51 × 14 × 221 ) / 17

LCM(51,14,221) = 157794 / 17

LCM(51,14,221) = 9282


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 79/51, 39/14, 508/221

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 79/51, 39/14, 508/221?

Answer: GCF of Numerators as per given numbers 79/51, 39/14, 508/221 is

GCF of Numerators i.e. for 79,39,508 is 1

LCM of denominators i.e. for 51,14,221 is 9282.

Thus, GCF of Fractions is 1/9282.Finally, GCF of Fractions for 79/51, 39/14, 508/221 is 1/9282.