Greatest Common Factor of 6532/77, 7731/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6532/77, 7731/772

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 6532/77,7731/772

Given fractions are 6532/77,7731/772

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 6532,7731

Greatest Common Factor of Numerators i.e. GCF of 6532,7731 is 1 .

LCM of Denominators means LCM of 77,772 as per the given fractions.

LCM of 77,772 is 59444 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6532,7731

GCF of Fractions 6532/77,7731/772 is 1/59444

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

Greatest Common Factor of 6532,7731 By Matching Biggest Common Factor Method

Greatest Common Factor of 6532,7731 By Matching Biggest Common Factor Method

Factors of 6532

List of positive integer factors of 6532 that divides 6532 without a remainder.

1,2,4,23,46,71,92,142,284,1633,3266,6532

Factors of 7731

List of positive integer factors of 7731 that divides 7731 without a remainder.

1,3,9,859,2577,7731

Greatest Common Factor

We found the factors 6532,7731 . The biggest common factor number is the GCF number.
So the greatest common factor 6532,7731 is 1.

Lets's calculate LCM of 77,772

Given numbers has no common factors except 1. So, there LCM is their product i.e 59444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59444

Therefore, the GCF of Fractions 6532/77,7731/772 is 1/59444

Least Common Multiple of 77,772 with GCF Formula

Least Common Multiple of 77,772 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 77,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,772) = 1

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

GCF(77,772) x common factors =1 x 1 = 1

LCM(77,772) = ( 77 × 772 ) / 1

LCM(77,772) = 59444 / 1

LCM(77,772) = 59444


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 6532/77, 7731/772

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 6532/77, 7731/772?

Answer: GCF of Numerators as per given numbers 6532/77, 7731/772 is

GCF of Numerators i.e. for 6532,7731 is 1

LCM of denominators i.e. for 77,772 is 59444.

Thus, GCF of Fractions is 1/59444.Finally, GCF of Fractions for 6532/77, 7731/772 is 1/59444.