Greatest Common Factor of 31/295, 34/915, 837/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/295, 34/915, 837/481

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 31/295,34/915,837/481

Given fractions are 31/295,34/915,837/481

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 31,34,837

Greatest Common Factor of Numerators i.e. GCF of 31,34,837 is 1 .

LCM of Denominators means LCM of 295,915,481 as per the given fractions.

LCM of 295,915,481 is 25966785 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,34,837

GCF of Fractions 31/295,34/915,837/481 is 1/25966785

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

Greatest Common Factor of 31,34,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,34,837 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 31,34,837 . The biggest common factor number is the GCF number.
So the greatest common factor 31,34,837 is 1.

Lets's calculate LCM of 295,915,481

5 295, 915, 481
59, 183, 481

∴ So the LCM of the given numbers is 5 x 59 x 183 x 481 = 25966785

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25966785

Therefore, the GCF of Fractions 31/295,34/915,837/481 is 1/25966785

Least Common Multiple of 295,915,481 with GCF Formula

Least Common Multiple of 295,915,481 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 295,915,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,915,481) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(295,915,481) x common factors =1 x 5 = 5

LCM(295,915,481) = ( 295 × 915 × 481 ) / 5

LCM(295,915,481) = 129833925 / 5

LCM(295,915,481) = 25966785


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 31/295, 34/915, 837/481

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 31/295, 34/915, 837/481?

Answer: GCF of Numerators as per given numbers 31/295, 34/915, 837/481 is

GCF of Numerators i.e. for 31,34,837 is 1

LCM of denominators i.e. for 295,915,481 is 25966785.

Thus, GCF of Fractions is 1/25966785.Finally, GCF of Fractions for 31/295, 34/915, 837/481 is 1/25966785.