Greatest Common Factor of 373/75, 158/87, 987/39

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 373/75, 158/87, 987/39

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 373/75,158/87,987/39

Given fractions are 373/75,158/87,987/39

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 373,158,987

Greatest Common Factor of Numerators i.e. GCF of 373,158,987 is 1 .

LCM of Denominators means LCM of 75,87,39 as per the given fractions.

LCM of 75,87,39 is 28275 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 373,158,987

GCF of Fractions 373/75,158/87,987/39 is 1/28275

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

Greatest Common Factor of 373,158,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 373,158,987 By Matching Biggest Common Factor Method

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 373,158,987 . The biggest common factor number is the GCF number.
So the greatest common factor 373,158,987 is 1.

Lets's calculate LCM of 75,87,39

3 75, 87, 39
25, 29, 13

∴ So the LCM of the given numbers is 3 x 25 x 29 x 13 = 28275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28275

Therefore, the GCF of Fractions 373/75,158/87,987/39 is 1/28275

Least Common Multiple of 75,87,39 with GCF Formula

Least Common Multiple of 75,87,39 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 75,87,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,87,39) = 3

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

GCF(75,87,39) x common factors =3 x 3 = 9

LCM(75,87,39) = ( 75 × 87 × 39 ) / 9

LCM(75,87,39) = 254475 / 9

LCM(75,87,39) = 28275


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 373/75, 158/87, 987/39

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 373/75, 158/87, 987/39?

Answer: GCF of Numerators as per given numbers 373/75, 158/87, 987/39 is

GCF of Numerators i.e. for 373,158,987 is 1

LCM of denominators i.e. for 75,87,39 is 28275.

Thus, GCF of Fractions is 1/28275.Finally, GCF of Fractions for 373/75, 158/87, 987/39 is 1/28275.