Greatest Common Factor of 6516/464, 1077/7614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6516/464, 1077/7614

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 6516/464,1077/7614

Given fractions are 6516/464,1077/7614

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 6516,1077

Greatest Common Factor of Numerators i.e. GCF of 6516,1077 is 3 .

LCM of Denominators means LCM of 464,7614 as per the given fractions.

LCM of 464,7614 is 1766448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6516,1077

GCF of Fractions 6516/464,1077/7614 is 3/1766448

3 6516, 1077
2172, 359

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

Greatest Common Factor of 6516,1077 By Matching Biggest Common Factor Method

Greatest Common Factor of 6516,1077 By Matching Biggest Common Factor Method

Factors of 6516

List of positive integer factors of 6516 that divides 6516 without a remainder.

1,2,3,4,6,9,12,18,36,181,362,543,724,1086,1629,2172,3258,6516

Factors of 1077

List of positive integer factors of 1077 that divides 1077 without a remainder.

1,3,359,1077

Greatest Common Factor

We found the factors 6516,1077 . The biggest common factor number is the GCF number.
So the greatest common factor 6516,1077 is 3.

Lets's calculate LCM of 464,7614

2 464, 7614
232, 3807

∴ So the LCM of the given numbers is 2 x 232 x 3807 = 1766448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1766448

Therefore, the GCF of Fractions 6516/464,1077/7614 is 3/1766448

Least Common Multiple of 464,7614 with GCF Formula

Least Common Multiple of 464,7614 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 464,7614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,7614) = 2

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

GCF(464,7614) x common factors =2 x 1 = 2

LCM(464,7614) = ( 464 × 7614 ) / 2

LCM(464,7614) = 3532896 / 2

LCM(464,7614) = 1766448


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 6516/464, 1077/7614

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 6516/464, 1077/7614?

Answer: GCF of Numerators as per given numbers 6516/464, 1077/7614 is

GCF of Numerators i.e. for 6516,1077 is 3

LCM of denominators i.e. for 464,7614 is 1766448.

Thus, GCF of Fractions is 3/1766448.Finally, GCF of Fractions for 6516/464, 1077/7614 is 3/1766448.