Greatest Common Factor of 31/298, 742/359, 924/939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/298, 742/359, 924/939

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 31/298,742/359,924/939

Given fractions are 31/298,742/359,924/939

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 31,742,924

Greatest Common Factor of Numerators i.e. GCF of 31,742,924 is 1 .

LCM of Denominators means LCM of 298,359,939 as per the given fractions.

LCM of 298,359,939 is 100456098 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,742,924

GCF of Fractions 31/298,742/359,924/939 is 1/100456098

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

Greatest Common Factor of 31,742,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,742,924 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 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 31,742,924 . The biggest common factor number is the GCF number.
So the greatest common factor 31,742,924 is 1.

Lets's calculate LCM of 298,359,939

Given numbers has no common factors except 1. So, there LCM is their product i.e 100456098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100456098

Therefore, the GCF of Fractions 31/298,742/359,924/939 is 1/100456098

Least Common Multiple of 298,359,939 with GCF Formula

Least Common Multiple of 298,359,939 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 298,359,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,359,939) = 1

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

GCF(298,359,939) x common factors =1 x 1 = 1

LCM(298,359,939) = ( 298 × 359 × 939 ) / 1

LCM(298,359,939) = 100456098 / 1

LCM(298,359,939) = 100456098


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 31/298, 742/359, 924/939

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 31/298, 742/359, 924/939?

Answer: GCF of Numerators as per given numbers 31/298, 742/359, 924/939 is

GCF of Numerators i.e. for 31,742,924 is 1

LCM of denominators i.e. for 298,359,939 is 100456098.

Thus, GCF of Fractions is 1/100456098.Finally, GCF of Fractions for 31/298, 742/359, 924/939 is 1/100456098.