Greatest Common Factor of 158/50, 909/94, 981/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 158/50, 909/94, 981/740

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 158/50,909/94,981/740

Given fractions are 158/50,909/94,981/740

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 158,909,981

Greatest Common Factor of Numerators i.e. GCF of 158,909,981 is 1 .

LCM of Denominators means LCM of 50,94,740 as per the given fractions.

LCM of 50,94,740 is 173900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 158,909,981

GCF of Fractions 158/50,909/94,981/740 is 1/173900

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

Greatest Common Factor of 158,909,981 By Matching Biggest Common Factor Method

Greatest Common Factor of 158,909,981 By Matching Biggest Common Factor Method

Factors of 158

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

1,2,79,158

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Greatest Common Factor

We found the factors 158,909,981 . The biggest common factor number is the GCF number.
So the greatest common factor 158,909,981 is 1.

Lets's calculate LCM of 50,94,740

2 50, 94, 740
5 25, 47, 370
5, 47, 74

∴ So the LCM of the given numbers is 2 x 5 x 5 x 47 x 74 = 173900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173900

Therefore, the GCF of Fractions 158/50,909/94,981/740 is 1/173900

Least Common Multiple of 50,94,740 with GCF Formula

Least Common Multiple of 50,94,740 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 50,94,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,94,740) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(50,94,740) x common factors =2 x 10 = 20

LCM(50,94,740) = ( 50 × 94 × 740 ) / 20

LCM(50,94,740) = 3478000 / 20

LCM(50,94,740) = 173900


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 158/50, 909/94, 981/740

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 158/50, 909/94, 981/740?

Answer: GCF of Numerators as per given numbers 158/50, 909/94, 981/740 is

GCF of Numerators i.e. for 158,909,981 is 1

LCM of denominators i.e. for 50,94,740 is 173900.

Thus, GCF of Fractions is 1/173900.Finally, GCF of Fractions for 158/50, 909/94, 981/740 is 1/173900.