Greatest Common Factor of 663/756, 6516/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 663/756, 6516/707

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 663/756,6516/707

Given fractions are 663/756,6516/707

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 663,6516

Greatest Common Factor of Numerators i.e. GCF of 663,6516 is 3 .

LCM of Denominators means LCM of 756,707 as per the given fractions.

LCM of 756,707 is 76356 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 663,6516

GCF of Fractions 663/756,6516/707 is 3/76356

3 663, 6516
221, 2172

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

Greatest Common Factor of 663,6516 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,6516 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

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

Greatest Common Factor

We found the factors 663,6516 . The biggest common factor number is the GCF number.
So the greatest common factor 663,6516 is 3.

Lets's calculate LCM of 756,707

7 756, 707
108, 101

∴ So the LCM of the given numbers is 7 x 108 x 101 = 76356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/76356

Therefore, the GCF of Fractions 663/756,6516/707 is 3/76356

Least Common Multiple of 756,707 with GCF Formula

Least Common Multiple of 756,707 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 756,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,707) = 7

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

GCF(756,707) x common factors =7 x 1 = 7

LCM(756,707) = ( 756 × 707 ) / 7

LCM(756,707) = 534492 / 7

LCM(756,707) = 76356


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 663/756, 6516/707

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 663/756, 6516/707?

Answer: GCF of Numerators as per given numbers 663/756, 6516/707 is

GCF of Numerators i.e. for 663,6516 is 3

LCM of denominators i.e. for 756,707 is 76356.

Thus, GCF of Fractions is 3/76356.Finally, GCF of Fractions for 663/756, 6516/707 is 3/76356.