Greatest Common Factor of 74/71, 74/87, 75/31, 77/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 74/71, 74/87, 75/31, 77/258

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 74/71,74/87,75/31,77/258

Given fractions are 74/71,74/87,75/31,77/258

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 74,74,75,77

Greatest Common Factor of Numerators i.e. GCF of 74,74,75,77 is 1 .

LCM of Denominators means LCM of 71,87,31,258 as per the given fractions.

LCM of 71,87,31,258 is 16467882 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 74,74,75,77

GCF of Fractions 74/71,74/87,75/31,77/258 is 1/16467882

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

Greatest Common Factor of 74,74,75,77 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,74,75,77 By Matching Biggest Common Factor Method

Factors of 74

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

1,2,37,74

Factors of 74

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

1,2,37,74

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Greatest Common Factor

We found the factors 74,74,75,77 . The biggest common factor number is the GCF number.
So the greatest common factor 74,74,75,77 is 1.

Lets's calculate LCM of 71,87,31,258

3 71, 87, 31, 258
71, 29, 31, 86

∴ So the LCM of the given numbers is 3 x 71 x 29 x 31 x 86 = 16467882

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16467882

Therefore, the GCF of Fractions 74/71,74/87,75/31,77/258 is 1/16467882

Least Common Multiple of 71,87,31,258 with GCF Formula

Least Common Multiple of 71,87,31,258 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 71,87,31,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,87,31,258) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(71,87,31,258) x common factors =1 x 3 = 3

LCM(71,87,31,258) = ( 71 × 87 × 31 × 258 ) / 3

LCM(71,87,31,258) = 49403646 / 3

LCM(71,87,31,258) = 16467882


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 74/71, 74/87, 75/31, 77/258

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 74/71, 74/87, 75/31, 77/258?

Answer: GCF of Numerators as per given numbers 74/71, 74/87, 75/31, 77/258 is

GCF of Numerators i.e. for 74,74,75,77 is 1

LCM of denominators i.e. for 71,87,31,258 is 16467882.

Thus, GCF of Fractions is 1/16467882.Finally, GCF of Fractions for 74/71, 74/87, 75/31, 77/258 is 1/16467882.