Greatest Common Factor of 31/93, 956/49, 618/568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/93, 956/49, 618/568

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 31/93,956/49,618/568

Given fractions are 31/93,956/49,618/568

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 31,956,618

Greatest Common Factor of Numerators i.e. GCF of 31,956,618 is 1 .

LCM of Denominators means LCM of 93,49,568 as per the given fractions.

LCM of 93,49,568 is 2588376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,956,618

GCF of Fractions 31/93,956/49,618/568 is 1/2588376

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

Greatest Common Factor of 31,956,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,956,618 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 31,956,618 . The biggest common factor number is the GCF number.
So the greatest common factor 31,956,618 is 1.

Lets's calculate LCM of 93,49,568

Given numbers has no common factors except 1. So, there LCM is their product i.e 2588376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2588376

Therefore, the GCF of Fractions 31/93,956/49,618/568 is 1/2588376

Least Common Multiple of 93,49,568 with GCF Formula

Least Common Multiple of 93,49,568 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 93,49,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,49,568) = 1

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

GCF(93,49,568) x common factors =1 x 1 = 1

LCM(93,49,568) = ( 93 × 49 × 568 ) / 1

LCM(93,49,568) = 2588376 / 1

LCM(93,49,568) = 2588376


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 31/93, 956/49, 618/568

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 31/93, 956/49, 618/568?

Answer: GCF of Numerators as per given numbers 31/93, 956/49, 618/568 is

GCF of Numerators i.e. for 31,956,618 is 1

LCM of denominators i.e. for 93,49,568 is 2588376.

Thus, GCF of Fractions is 1/2588376.Finally, GCF of Fractions for 31/93, 956/49, 618/568 is 1/2588376.