Greatest Common Factor of 31/463, 73/995, 426/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/463, 73/995, 426/377

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 31/463,73/995,426/377

Given fractions are 31/463,73/995,426/377

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 31,73,426

Greatest Common Factor of Numerators i.e. GCF of 31,73,426 is 1 .

LCM of Denominators means LCM of 463,995,377 as per the given fractions.

LCM of 463,995,377 is 173678245 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,73,426

GCF of Fractions 31/463,73/995,426/377 is 1/173678245

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

Greatest Common Factor of 31,73,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,73,426 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 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 31,73,426 . The biggest common factor number is the GCF number.
So the greatest common factor 31,73,426 is 1.

Lets's calculate LCM of 463,995,377

Given numbers has no common factors except 1. So, there LCM is their product i.e 173678245

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173678245

Therefore, the GCF of Fractions 31/463,73/995,426/377 is 1/173678245

Least Common Multiple of 463,995,377 with GCF Formula

Least Common Multiple of 463,995,377 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 463,995,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,995,377) = 1

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

GCF(463,995,377) x common factors =1 x 1 = 1

LCM(463,995,377) = ( 463 × 995 × 377 ) / 1

LCM(463,995,377) = 173678245 / 1

LCM(463,995,377) = 173678245


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 31/463, 73/995, 426/377

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 31/463, 73/995, 426/377?

Answer: GCF of Numerators as per given numbers 31/463, 73/995, 426/377 is

GCF of Numerators i.e. for 31,73,426 is 1

LCM of denominators i.e. for 463,995,377 is 173678245.

Thus, GCF of Fractions is 1/173678245.Finally, GCF of Fractions for 31/463, 73/995, 426/377 is 1/173678245.