Greatest Common Factor of 4979/310, 1721/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4979/310, 1721/136

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 4979/310,1721/136

Given fractions are 4979/310,1721/136

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 4979,1721

Greatest Common Factor of Numerators i.e. GCF of 4979,1721 is 1 .

LCM of Denominators means LCM of 310,136 as per the given fractions.

LCM of 310,136 is 21080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4979,1721

GCF of Fractions 4979/310,1721/136 is 1/21080

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

Greatest Common Factor of 4979,1721 By Matching Biggest Common Factor Method

Greatest Common Factor of 4979,1721 By Matching Biggest Common Factor Method

Factors of 4979

List of positive integer factors of 4979 that divides 4979 without a remainder.

1,13,383,4979

Factors of 1721

List of positive integer factors of 1721 that divides 1721 without a remainder.

1,1721

Greatest Common Factor

We found the factors 4979,1721 . The biggest common factor number is the GCF number.
So the greatest common factor 4979,1721 is 1.

Lets's calculate LCM of 310,136

2 310, 136
155, 68

∴ So the LCM of the given numbers is 2 x 155 x 68 = 21080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21080

Therefore, the GCF of Fractions 4979/310,1721/136 is 1/21080

Least Common Multiple of 310,136 with GCF Formula

Least Common Multiple of 310,136 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 310,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,136) = 2

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

GCF(310,136) x common factors =2 x 1 = 2

LCM(310,136) = ( 310 × 136 ) / 2

LCM(310,136) = 42160 / 2

LCM(310,136) = 21080


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 4979/310, 1721/136

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 4979/310, 1721/136?

Answer: GCF of Numerators as per given numbers 4979/310, 1721/136 is

GCF of Numerators i.e. for 4979,1721 is 1

LCM of denominators i.e. for 310,136 is 21080.

Thus, GCF of Fractions is 1/21080.Finally, GCF of Fractions for 4979/310, 1721/136 is 1/21080.