Greatest Common Factor of 975/18, 7618/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 975/18, 7618/631

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 975/18,7618/631

Given fractions are 975/18,7618/631

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 975,7618

Greatest Common Factor of Numerators i.e. GCF of 975,7618 is 13 .

LCM of Denominators means LCM of 18,631 as per the given fractions.

LCM of 18,631 is 11358 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 975,7618

GCF of Fractions 975/18,7618/631 is 13/11358

13 975, 7618
75, 586

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 975,7618 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,7618 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 7618

List of positive integer factors of 7618 that divides 7618 without a remainder.

1,2,13,26,293,586,3809,7618

Greatest Common Factor

We found the factors 975,7618 . The biggest common factor number is the GCF number.
So the greatest common factor 975,7618 is 13.

Lets's calculate LCM of 18,631

Given numbers has no common factors except 1. So, there LCM is their product i.e 11358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/11358

Therefore, the GCF of Fractions 975/18,7618/631 is 13/11358

Least Common Multiple of 18,631 with GCF Formula

Least Common Multiple of 18,631 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 18,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,631) = 1

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

GCF(18,631) x common factors =1 x 1 = 1

LCM(18,631) = ( 18 × 631 ) / 1

LCM(18,631) = 11358 / 1

LCM(18,631) = 11358


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 975/18, 7618/631

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 975/18, 7618/631?

Answer: GCF of Numerators as per given numbers 975/18, 7618/631 is

GCF of Numerators i.e. for 975,7618 is 13

LCM of denominators i.e. for 18,631 is 11358.

Thus, GCF of Fractions is 13/11358.Finally, GCF of Fractions for 975/18, 7618/631 is 13/11358.