Greatest Common Factor of 351/959, 771/180, 169/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 351/959, 771/180, 169/187

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 351/959,771/180,169/187

Given fractions are 351/959,771/180,169/187

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 351,771,169

Greatest Common Factor of Numerators i.e. GCF of 351,771,169 is 1 .

LCM of Denominators means LCM of 959,180,187 as per the given fractions.

LCM of 959,180,187 is 32279940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 351,771,169

GCF of Fractions 351/959,771/180,169/187 is 1/32279940

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

Greatest Common Factor of 351,771,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,771,169 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 351,771,169 . The biggest common factor number is the GCF number.
So the greatest common factor 351,771,169 is 1.

Lets's calculate LCM of 959,180,187

Given numbers has no common factors except 1. So, there LCM is their product i.e 32279940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32279940

Therefore, the GCF of Fractions 351/959,771/180,169/187 is 1/32279940

Least Common Multiple of 959,180,187 with GCF Formula

Least Common Multiple of 959,180,187 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 959,180,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(959,180,187) = 1

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

GCF(959,180,187) x common factors =1 x 1 = 1

LCM(959,180,187) = ( 959 × 180 × 187 ) / 1

LCM(959,180,187) = 32279940 / 1

LCM(959,180,187) = 32279940


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 351/959, 771/180, 169/187

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 351/959, 771/180, 169/187?

Answer: GCF of Numerators as per given numbers 351/959, 771/180, 169/187 is

GCF of Numerators i.e. for 351,771,169 is 1

LCM of denominators i.e. for 959,180,187 is 32279940.

Thus, GCF of Fractions is 1/32279940.Finally, GCF of Fractions for 351/959, 771/180, 169/187 is 1/32279940.