Greatest Common Factor of 613/956, 463/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 613/956, 463/365

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 613/956,463/365

Given fractions are 613/956,463/365

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 613,463

Greatest Common Factor of Numerators i.e. GCF of 613,463 is 1 .

LCM of Denominators means LCM of 956,365 as per the given fractions.

LCM of 956,365 is 348940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 613,463

GCF of Fractions 613/956,463/365 is 1/348940

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

Greatest Common Factor of 613,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 613,463 By Matching Biggest Common Factor Method

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 613,463 . The biggest common factor number is the GCF number.
So the greatest common factor 613,463 is 1.

Lets's calculate LCM of 956,365

Given numbers has no common factors except 1. So, there LCM is their product i.e 348940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/348940

Therefore, the GCF of Fractions 613/956,463/365 is 1/348940

Least Common Multiple of 956,365 with GCF Formula

Least Common Multiple of 956,365 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 956,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,365) = 1

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

GCF(956,365) x common factors =1 x 1 = 1

LCM(956,365) = ( 956 × 365 ) / 1

LCM(956,365) = 348940 / 1

LCM(956,365) = 348940


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 613/956, 463/365

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 613/956, 463/365?

Answer: GCF of Numerators as per given numbers 613/956, 463/365 is

GCF of Numerators i.e. for 613,463 is 1

LCM of denominators i.e. for 956,365 is 348940.

Thus, GCF of Fractions is 1/348940.Finally, GCF of Fractions for 613/956, 463/365 is 1/348940.