Greatest Common Factor of 767/815, 533/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 767/815, 533/468

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 767/815,533/468

Given fractions are 767/815,533/468

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 767,533

Greatest Common Factor of Numerators i.e. GCF of 767,533 is 13 .

LCM of Denominators means LCM of 815,468 as per the given fractions.

LCM of 815,468 is 381420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 767,533

GCF of Fractions 767/815,533/468 is 13/381420

13 767, 533
59, 41

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 767,533 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,533 By Matching Biggest Common Factor Method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Greatest Common Factor

We found the factors 767,533 . The biggest common factor number is the GCF number.
So the greatest common factor 767,533 is 13.

Lets's calculate LCM of 815,468

Given numbers has no common factors except 1. So, there LCM is their product i.e 381420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/381420

Therefore, the GCF of Fractions 767/815,533/468 is 13/381420

Least Common Multiple of 815,468 with GCF Formula

Least Common Multiple of 815,468 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 815,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(815,468) = 1

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

GCF(815,468) x common factors =1 x 1 = 1

LCM(815,468) = ( 815 × 468 ) / 1

LCM(815,468) = 381420 / 1

LCM(815,468) = 381420


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 767/815, 533/468

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 767/815, 533/468?

Answer: GCF of Numerators as per given numbers 767/815, 533/468 is

GCF of Numerators i.e. for 767,533 is 13

LCM of denominators i.e. for 815,468 is 381420.

Thus, GCF of Fractions is 13/381420.Finally, GCF of Fractions for 767/815, 533/468 is 13/381420.