Greatest Common Factor of 13/629, 4979/2121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/629, 4979/2121

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 13/629,4979/2121

Given fractions are 13/629,4979/2121

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 13,4979

Greatest Common Factor of Numerators i.e. GCF of 13,4979 is 13 .

LCM of Denominators means LCM of 629,2121 as per the given fractions.

LCM of 629,2121 is 1334109 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,4979

GCF of Fractions 13/629,4979/2121 is 13/1334109

13 13, 4979
1, 383

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 13,4979 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,4979 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 4979

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

1,13,383,4979

Greatest Common Factor

We found the factors 13,4979 . The biggest common factor number is the GCF number.
So the greatest common factor 13,4979 is 13.

Lets's calculate LCM of 629,2121

Given numbers has no common factors except 1. So, there LCM is their product i.e 1334109

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1334109

Therefore, the GCF of Fractions 13/629,4979/2121 is 13/1334109

Least Common Multiple of 629,2121 with GCF Formula

Least Common Multiple of 629,2121 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 629,2121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(629,2121) = 1

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

GCF(629,2121) x common factors =1 x 1 = 1

LCM(629,2121) = ( 629 × 2121 ) / 1

LCM(629,2121) = 1334109 / 1

LCM(629,2121) = 1334109


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 13/629, 4979/2121

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 13/629, 4979/2121?

Answer: GCF of Numerators as per given numbers 13/629, 4979/2121 is

GCF of Numerators i.e. for 13,4979 is 13

LCM of denominators i.e. for 629,2121 is 1334109.

Thus, GCF of Fractions is 13/1334109.Finally, GCF of Fractions for 13/629, 4979/2121 is 13/1334109.