Greatest Common Factor of 7965/57, 3253/573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7965/57, 3253/573

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 7965/57,3253/573

Given fractions are 7965/57,3253/573

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 7965,3253

Greatest Common Factor of Numerators i.e. GCF of 7965,3253 is 1 .

LCM of Denominators means LCM of 57,573 as per the given fractions.

LCM of 57,573 is 10887 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7965,3253

GCF of Fractions 7965/57,3253/573 is 1/10887

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

Greatest Common Factor of 7965,3253 By Matching Biggest Common Factor Method

Greatest Common Factor of 7965,3253 By Matching Biggest Common Factor Method

Factors of 7965

List of positive integer factors of 7965 that divides 7965 without a remainder.

1,3,5,9,15,27,45,59,135,177,295,531,885,1593,2655,7965

Factors of 3253

List of positive integer factors of 3253 that divides 3253 without a remainder.

1,3253

Greatest Common Factor

We found the factors 7965,3253 . The biggest common factor number is the GCF number.
So the greatest common factor 7965,3253 is 1.

Lets's calculate LCM of 57,573

3 57, 573
19, 191

∴ So the LCM of the given numbers is 3 x 19 x 191 = 10887

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10887

Therefore, the GCF of Fractions 7965/57,3253/573 is 1/10887

Least Common Multiple of 57,573 with GCF Formula

Least Common Multiple of 57,573 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 57,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,573) = 3

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

GCF(57,573) x common factors =3 x 1 = 3

LCM(57,573) = ( 57 × 573 ) / 3

LCM(57,573) = 32661 / 3

LCM(57,573) = 10887


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 7965/57, 3253/573

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 7965/57, 3253/573?

Answer: GCF of Numerators as per given numbers 7965/57, 3253/573 is

GCF of Numerators i.e. for 7965,3253 is 1

LCM of denominators i.e. for 57,573 is 10887.

Thus, GCF of Fractions is 1/10887.Finally, GCF of Fractions for 7965/57, 3253/573 is 1/10887.