Greatest Common Factor of 9753/44, 2875/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9753/44, 2875/762

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 9753/44,2875/762

Given fractions are 9753/44,2875/762

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 9753,2875

Greatest Common Factor of Numerators i.e. GCF of 9753,2875 is 1 .

LCM of Denominators means LCM of 44,762 as per the given fractions.

LCM of 44,762 is 16764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9753,2875

GCF of Fractions 9753/44,2875/762 is 1/16764

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

Greatest Common Factor of 9753,2875 By Matching Biggest Common Factor Method

Greatest Common Factor of 9753,2875 By Matching Biggest Common Factor Method

Factors of 9753

List of positive integer factors of 9753 that divides 9753 without a remainder.

1,3,3251,9753

Factors of 2875

List of positive integer factors of 2875 that divides 2875 without a remainder.

1,5,23,25,115,125,575,2875

Greatest Common Factor

We found the factors 9753,2875 . The biggest common factor number is the GCF number.
So the greatest common factor 9753,2875 is 1.

Lets's calculate LCM of 44,762

2 44, 762
22, 381

∴ So the LCM of the given numbers is 2 x 22 x 381 = 16764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16764

Therefore, the GCF of Fractions 9753/44,2875/762 is 1/16764

Least Common Multiple of 44,762 with GCF Formula

Least Common Multiple of 44,762 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 44,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,762) = 2

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

GCF(44,762) x common factors =2 x 1 = 2

LCM(44,762) = ( 44 × 762 ) / 2

LCM(44,762) = 33528 / 2

LCM(44,762) = 16764


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 9753/44, 2875/762

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 9753/44, 2875/762?

Answer: GCF of Numerators as per given numbers 9753/44, 2875/762 is

GCF of Numerators i.e. for 9753,2875 is 1

LCM of denominators i.e. for 44,762 is 16764.

Thus, GCF of Fractions is 1/16764.Finally, GCF of Fractions for 9753/44, 2875/762 is 1/16764.