Greatest Common Factor of 178/301, 157/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 178/301, 157/871

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 178/301,157/871

Given fractions are 178/301,157/871

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 178,157

Greatest Common Factor of Numerators i.e. GCF of 178,157 is 1 .

LCM of Denominators means LCM of 301,871 as per the given fractions.

LCM of 301,871 is 262171 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 178,157

GCF of Fractions 178/301,157/871 is 1/262171

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

Greatest Common Factor of 178,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,157 By Matching Biggest Common Factor Method

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 178,157 . The biggest common factor number is the GCF number.
So the greatest common factor 178,157 is 1.

Lets's calculate LCM of 301,871

Given numbers has no common factors except 1. So, there LCM is their product i.e 262171

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/262171

Therefore, the GCF of Fractions 178/301,157/871 is 1/262171

Least Common Multiple of 301,871 with GCF Formula

Least Common Multiple of 301,871 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 301,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,871) = 1

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

GCF(301,871) x common factors =1 x 1 = 1

LCM(301,871) = ( 301 × 871 ) / 1

LCM(301,871) = 262171 / 1

LCM(301,871) = 262171


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 178/301, 157/871

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 178/301, 157/871?

Answer: GCF of Numerators as per given numbers 178/301, 157/871 is

GCF of Numerators i.e. for 178,157 is 1

LCM of denominators i.e. for 301,871 is 262171.

Thus, GCF of Fractions is 1/262171.Finally, GCF of Fractions for 178/301, 157/871 is 1/262171.