Greatest Common Factor of 8/31, 74/73, 25/334, 968/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/31, 74/73, 25/334, 968/375

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 8/31,74/73,25/334,968/375

Given fractions are 8/31,74/73,25/334,968/375

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 8,74,25,968

Greatest Common Factor of Numerators i.e. GCF of 8,74,25,968 is 1 .

LCM of Denominators means LCM of 31,73,334,375 as per the given fractions.

LCM of 31,73,334,375 is 283440750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,74,25,968

GCF of Fractions 8/31,74/73,25/334,968/375 is 1/283440750

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

Greatest Common Factor of 8,74,25,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,74,25,968 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 8,74,25,968 . The biggest common factor number is the GCF number.
So the greatest common factor 8,74,25,968 is 1.

Lets's calculate LCM of 31,73,334,375

Given numbers has no common factors except 1. So, there LCM is their product i.e 283440750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/283440750

Therefore, the GCF of Fractions 8/31,74/73,25/334,968/375 is 1/283440750

Least Common Multiple of 31,73,334,375 with GCF Formula

Least Common Multiple of 31,73,334,375 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 31,73,334,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,73,334,375) = 1

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

GCF(31,73,334,375) x common factors =1 x 1 = 1

LCM(31,73,334,375) = ( 31 × 73 × 334 × 375 ) / 1

LCM(31,73,334,375) = 283440750 / 1

LCM(31,73,334,375) = 283440750


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 8/31, 74/73, 25/334, 968/375

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 8/31, 74/73, 25/334, 968/375?

Answer: GCF of Numerators as per given numbers 8/31, 74/73, 25/334, 968/375 is

GCF of Numerators i.e. for 8,74,25,968 is 1

LCM of denominators i.e. for 31,73,334,375 is 283440750.

Thus, GCF of Fractions is 1/283440750.Finally, GCF of Fractions for 8/31, 74/73, 25/334, 968/375 is 1/283440750.