Greatest Common Factor of 31/734, 375/613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/734, 375/613

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 31/734,375/613

Given fractions are 31/734,375/613

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 31,375

Greatest Common Factor of Numerators i.e. GCF of 31,375 is 1 .

LCM of Denominators means LCM of 734,613 as per the given fractions.

LCM of 734,613 is 449942 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,375

GCF of Fractions 31/734,375/613 is 1/449942

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

Greatest Common Factor of 31,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,375 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 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 31,375 . The biggest common factor number is the GCF number.
So the greatest common factor 31,375 is 1.

Lets's calculate LCM of 734,613

Given numbers has no common factors except 1. So, there LCM is their product i.e 449942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/449942

Therefore, the GCF of Fractions 31/734,375/613 is 1/449942

Least Common Multiple of 734,613 with GCF Formula

Least Common Multiple of 734,613 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 734,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,613) = 1

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

GCF(734,613) x common factors =1 x 1 = 1

LCM(734,613) = ( 734 × 613 ) / 1

LCM(734,613) = 449942 / 1

LCM(734,613) = 449942


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 31/734, 375/613

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 31/734, 375/613?

Answer: GCF of Numerators as per given numbers 31/734, 375/613 is

GCF of Numerators i.e. for 31,375 is 1

LCM of denominators i.e. for 734,613 is 449942.

Thus, GCF of Fractions is 1/449942.Finally, GCF of Fractions for 31/734, 375/613 is 1/449942.