Greatest Common Factor of 613/595, 765/945, 496/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 613/595, 765/945, 496/231

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 613/595,765/945,496/231

Given fractions are 613/595,765/945,496/231

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 613,765,496

Greatest Common Factor of Numerators i.e. GCF of 613,765,496 is 1 .

LCM of Denominators means LCM of 595,945,231 as per the given fractions.

LCM of 595,945,231 is 176715 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 613,765,496

GCF of Fractions 613/595,765/945,496/231 is 1/176715

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

Greatest Common Factor of 613,765,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 613,765,496 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 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 613,765,496 . The biggest common factor number is the GCF number.
So the greatest common factor 613,765,496 is 1.

Lets's calculate LCM of 595,945,231

3 595, 945, 231
5 595, 315, 77
7 119, 63, 77
17, 9, 11

∴ So the LCM of the given numbers is 3 x 5 x 7 x 17 x 9 x 11 = 176715

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176715

Therefore, the GCF of Fractions 613/595,765/945,496/231 is 1/176715

Least Common Multiple of 595,945,231 with GCF Formula

Least Common Multiple of 595,945,231 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 595,945,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(595,945,231) = 7

common factors(in case of two or more numbers have common factors) = 105

GCF(595,945,231) x common factors =7 x 105 = 735

LCM(595,945,231) = ( 595 × 945 × 231 ) / 735

LCM(595,945,231) = 129885525 / 735

LCM(595,945,231) = 176715


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 613/595, 765/945, 496/231

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 613/595, 765/945, 496/231?

Answer: GCF of Numerators as per given numbers 613/595, 765/945, 496/231 is

GCF of Numerators i.e. for 613,765,496 is 1

LCM of denominators i.e. for 595,945,231 is 176715.

Thus, GCF of Fractions is 1/176715.Finally, GCF of Fractions for 613/595, 765/945, 496/231 is 1/176715.