Greatest Common Factor of 959/75, 299/11, 157/482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 959/75, 299/11, 157/482

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 959/75,299/11,157/482

Given fractions are 959/75,299/11,157/482

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 959,299,157

Greatest Common Factor of Numerators i.e. GCF of 959,299,157 is 1 .

LCM of Denominators means LCM of 75,11,482 as per the given fractions.

LCM of 75,11,482 is 397650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 959,299,157

GCF of Fractions 959/75,299/11,157/482 is 1/397650

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

Greatest Common Factor of 959,299,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 959,299,157 By Matching Biggest Common Factor Method

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

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 959,299,157 . The biggest common factor number is the GCF number.
So the greatest common factor 959,299,157 is 1.

Lets's calculate LCM of 75,11,482

Given numbers has no common factors except 1. So, there LCM is their product i.e 397650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/397650

Therefore, the GCF of Fractions 959/75,299/11,157/482 is 1/397650

Least Common Multiple of 75,11,482 with GCF Formula

Least Common Multiple of 75,11,482 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 75,11,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,11,482) = 1

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

GCF(75,11,482) x common factors =1 x 1 = 1

LCM(75,11,482) = ( 75 × 11 × 482 ) / 1

LCM(75,11,482) = 397650 / 1

LCM(75,11,482) = 397650


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 959/75, 299/11, 157/482

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 959/75, 299/11, 157/482?

Answer: GCF of Numerators as per given numbers 959/75, 299/11, 157/482 is

GCF of Numerators i.e. for 959,299,157 is 1

LCM of denominators i.e. for 75,11,482 is 397650.

Thus, GCF of Fractions is 1/397650.Finally, GCF of Fractions for 959/75, 299/11, 157/482 is 1/397650.