Greatest Common Factor of 4134/820, 7668/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4134/820, 7668/513

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 4134/820,7668/513

Given fractions are 4134/820,7668/513

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 4134,7668

Greatest Common Factor of Numerators i.e. GCF of 4134,7668 is 6 .

LCM of Denominators means LCM of 820,513 as per the given fractions.

LCM of 820,513 is 420660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4134,7668

GCF of Fractions 4134/820,7668/513 is 6/420660

2 4134, 7668
3 2067, 3834
689, 1278

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 4134,7668 By Matching Biggest Common Factor Method

Greatest Common Factor of 4134,7668 By Matching Biggest Common Factor Method

Factors of 4134

List of positive integer factors of 4134 that divides 4134 without a remainder.

1,2,3,6,13,26,39,53,78,106,159,318,689,1378,2067,4134

Factors of 7668

List of positive integer factors of 7668 that divides 7668 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,71,108,142,213,284,426,639,852,1278,1917,2556,3834,7668

Greatest Common Factor

We found the factors 4134,7668 . The biggest common factor number is the GCF number.
So the greatest common factor 4134,7668 is 6.

Lets's calculate LCM of 820,513

Given numbers has no common factors except 1. So, there LCM is their product i.e 420660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/420660

Therefore, the GCF of Fractions 4134/820,7668/513 is 6/420660

Least Common Multiple of 820,513 with GCF Formula

Least Common Multiple of 820,513 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 820,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,513) = 1

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

GCF(820,513) x common factors =1 x 1 = 1

LCM(820,513) = ( 820 × 513 ) / 1

LCM(820,513) = 420660 / 1

LCM(820,513) = 420660


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 4134/820, 7668/513

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 4134/820, 7668/513?

Answer: GCF of Numerators as per given numbers 4134/820, 7668/513 is

GCF of Numerators i.e. for 4134,7668 is 6

LCM of denominators i.e. for 820,513 is 420660.

Thus, GCF of Fractions is 6/420660.Finally, GCF of Fractions for 4134/820, 7668/513 is 6/420660.