Greatest Common Factor of 4913/561, 6129/7508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4913/561, 6129/7508

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 4913/561,6129/7508

Given fractions are 4913/561,6129/7508

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 4913,6129

Greatest Common Factor of Numerators i.e. GCF of 4913,6129 is 1 .

LCM of Denominators means LCM of 561,7508 as per the given fractions.

LCM of 561,7508 is 4211988 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4913,6129

GCF of Fractions 4913/561,6129/7508 is 1/4211988

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

Greatest Common Factor of 4913,6129 By Matching Biggest Common Factor Method

Greatest Common Factor of 4913,6129 By Matching Biggest Common Factor Method

Factors of 4913

List of positive integer factors of 4913 that divides 4913 without a remainder.

1,17,289,4913

Factors of 6129

List of positive integer factors of 6129 that divides 6129 without a remainder.

1,3,9,27,227,681,2043,6129

Greatest Common Factor

We found the factors 4913,6129 . The biggest common factor number is the GCF number.
So the greatest common factor 4913,6129 is 1.

Lets's calculate LCM of 561,7508

Given numbers has no common factors except 1. So, there LCM is their product i.e 4211988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4211988

Therefore, the GCF of Fractions 4913/561,6129/7508 is 1/4211988

Least Common Multiple of 561,7508 with GCF Formula

Least Common Multiple of 561,7508 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 561,7508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,7508) = 1

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

GCF(561,7508) x common factors =1 x 1 = 1

LCM(561,7508) = ( 561 × 7508 ) / 1

LCM(561,7508) = 4211988 / 1

LCM(561,7508) = 4211988


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 4913/561, 6129/7508

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 4913/561, 6129/7508?

Answer: GCF of Numerators as per given numbers 4913/561, 6129/7508 is

GCF of Numerators i.e. for 4913,6129 is 1

LCM of denominators i.e. for 561,7508 is 4211988.

Thus, GCF of Fractions is 1/4211988.Finally, GCF of Fractions for 4913/561, 6129/7508 is 1/4211988.