Greatest Common Factor of 50/975, 2631/1017

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 50/975, 2631/1017

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 50/975,2631/1017

Given fractions are 50/975,2631/1017

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 50,2631

Greatest Common Factor of Numerators i.e. GCF of 50,2631 is 1 .

LCM of Denominators means LCM of 975,1017 as per the given fractions.

LCM of 975,1017 is 330525 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 50,2631

GCF of Fractions 50/975,2631/1017 is 1/330525

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

Greatest Common Factor of 50,2631 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,2631 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 2631

List of positive integer factors of 2631 that divides 2631 without a remainder.

1,3,877,2631

Greatest Common Factor

We found the factors 50,2631 . The biggest common factor number is the GCF number.
So the greatest common factor 50,2631 is 1.

Lets's calculate LCM of 975,1017

3 975, 1017
325, 339

∴ So the LCM of the given numbers is 3 x 325 x 339 = 330525

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330525

Therefore, the GCF of Fractions 50/975,2631/1017 is 1/330525

Least Common Multiple of 975,1017 with GCF Formula

Least Common Multiple of 975,1017 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 975,1017 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,1017) = 3

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

GCF(975,1017) x common factors =3 x 1 = 3

LCM(975,1017) = ( 975 × 1017 ) / 3

LCM(975,1017) = 991575 / 3

LCM(975,1017) = 330525


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 50/975, 2631/1017

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 50/975, 2631/1017?

Answer: GCF of Numerators as per given numbers 50/975, 2631/1017 is

GCF of Numerators i.e. for 50,2631 is 1

LCM of denominators i.e. for 975,1017 is 330525.

Thus, GCF of Fractions is 1/330525.Finally, GCF of Fractions for 50/975, 2631/1017 is 1/330525.