Greatest Common Factor of 2979/514, 1869/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2979/514, 1869/630

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 2979/514,1869/630

Given fractions are 2979/514,1869/630

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 2979,1869

Greatest Common Factor of Numerators i.e. GCF of 2979,1869 is 3 .

LCM of Denominators means LCM of 514,630 as per the given fractions.

LCM of 514,630 is 161910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2979,1869

GCF of Fractions 2979/514,1869/630 is 3/161910

3 2979, 1869
993, 623

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

Greatest Common Factor of 2979,1869 By Matching Biggest Common Factor Method

Greatest Common Factor of 2979,1869 By Matching Biggest Common Factor Method

Factors of 2979

List of positive integer factors of 2979 that divides 2979 without a remainder.

1,3,9,331,993,2979

Factors of 1869

List of positive integer factors of 1869 that divides 1869 without a remainder.

1,3,7,21,89,267,623,1869

Greatest Common Factor

We found the factors 2979,1869 . The biggest common factor number is the GCF number.
So the greatest common factor 2979,1869 is 3.

Lets's calculate LCM of 514,630

2 514, 630
257, 315

∴ So the LCM of the given numbers is 2 x 257 x 315 = 161910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/161910

Therefore, the GCF of Fractions 2979/514,1869/630 is 3/161910

Least Common Multiple of 514,630 with GCF Formula

Least Common Multiple of 514,630 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 514,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,630) = 2

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

GCF(514,630) x common factors =2 x 1 = 2

LCM(514,630) = ( 514 × 630 ) / 2

LCM(514,630) = 323820 / 2

LCM(514,630) = 161910


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 2979/514, 1869/630

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 2979/514, 1869/630?

Answer: GCF of Numerators as per given numbers 2979/514, 1869/630 is

GCF of Numerators i.e. for 2979,1869 is 3

LCM of denominators i.e. for 514,630 is 161910.

Thus, GCF of Fractions is 3/161910.Finally, GCF of Fractions for 2979/514, 1869/630 is 3/161910.