Greatest Common Factor of 1514/760, 4641/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1514/760, 4641/616

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 1514/760,4641/616

Given fractions are 1514/760,4641/616

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 1514,4641

Greatest Common Factor of Numerators i.e. GCF of 1514,4641 is 1 .

LCM of Denominators means LCM of 760,616 as per the given fractions.

LCM of 760,616 is 58520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1514,4641

GCF of Fractions 1514/760,4641/616 is 1/58520

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

Greatest Common Factor of 1514,4641 By Matching Biggest Common Factor Method

Greatest Common Factor of 1514,4641 By Matching Biggest Common Factor Method

Factors of 1514

List of positive integer factors of 1514 that divides 1514 without a remainder.

1,2,757,1514

Factors of 4641

List of positive integer factors of 4641 that divides 4641 without a remainder.

1,3,7,13,17,21,39,51,91,119,221,273,357,663,1547,4641

Greatest Common Factor

We found the factors 1514,4641 . The biggest common factor number is the GCF number.
So the greatest common factor 1514,4641 is 1.

Lets's calculate LCM of 760,616

2 760, 616
2 380, 308
2 190, 154
95, 77

∴ So the LCM of the given numbers is 2 x 2 x 2 x 95 x 77 = 58520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58520

Therefore, the GCF of Fractions 1514/760,4641/616 is 1/58520

Least Common Multiple of 760,616 with GCF Formula

Least Common Multiple of 760,616 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 760,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,616) = 8

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

GCF(760,616) x common factors =8 x 1 = 8

LCM(760,616) = ( 760 × 616 ) / 8

LCM(760,616) = 468160 / 8

LCM(760,616) = 58520


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 1514/760, 4641/616

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 1514/760, 4641/616?

Answer: GCF of Numerators as per given numbers 1514/760, 4641/616 is

GCF of Numerators i.e. for 1514,4641 is 1

LCM of denominators i.e. for 760,616 is 58520.

Thus, GCF of Fractions is 1/58520.Finally, GCF of Fractions for 1514/760, 4641/616 is 1/58520.