Greatest Common Factor of 5487/750, 7772/9512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5487/750, 7772/9512

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 5487/750,7772/9512

Given fractions are 5487/750,7772/9512

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 5487,7772

Greatest Common Factor of Numerators i.e. GCF of 5487,7772 is 1 .

LCM of Denominators means LCM of 750,9512 as per the given fractions.

LCM of 750,9512 is 3567000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5487,7772

GCF of Fractions 5487/750,7772/9512 is 1/3567000

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

Greatest Common Factor of 5487,7772 By Matching Biggest Common Factor Method

Greatest Common Factor of 5487,7772 By Matching Biggest Common Factor Method

Factors of 5487

List of positive integer factors of 5487 that divides 5487 without a remainder.

1,3,31,59,93,177,1829,5487

Factors of 7772

List of positive integer factors of 7772 that divides 7772 without a remainder.

1,2,4,29,58,67,116,134,268,1943,3886,7772

Greatest Common Factor

We found the factors 5487,7772 . The biggest common factor number is the GCF number.
So the greatest common factor 5487,7772 is 1.

Lets's calculate LCM of 750,9512

2 750, 9512
375, 4756

∴ So the LCM of the given numbers is 2 x 375 x 4756 = 3567000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3567000

Therefore, the GCF of Fractions 5487/750,7772/9512 is 1/3567000

Least Common Multiple of 750,9512 with GCF Formula

Least Common Multiple of 750,9512 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 750,9512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,9512) = 2

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

GCF(750,9512) x common factors =2 x 1 = 2

LCM(750,9512) = ( 750 × 9512 ) / 2

LCM(750,9512) = 7134000 / 2

LCM(750,9512) = 3567000


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 5487/750, 7772/9512

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 5487/750, 7772/9512?

Answer: GCF of Numerators as per given numbers 5487/750, 7772/9512 is

GCF of Numerators i.e. for 5487,7772 is 1

LCM of denominators i.e. for 750,9512 is 3567000.

Thus, GCF of Fractions is 1/3567000.Finally, GCF of Fractions for 5487/750, 7772/9512 is 1/3567000.