Greatest Common Factor of 82/235, 573/752, 680/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 82/235, 573/752, 680/461

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 82/235,573/752,680/461

Given fractions are 82/235,573/752,680/461

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 82,573,680

Greatest Common Factor of Numerators i.e. GCF of 82,573,680 is 1 .

LCM of Denominators means LCM of 235,752,461 as per the given fractions.

LCM of 235,752,461 is 1733360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 82,573,680

GCF of Fractions 82/235,573/752,680/461 is 1/1733360

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

Greatest Common Factor of 82,573,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,573,680 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 82,573,680 . The biggest common factor number is the GCF number.
So the greatest common factor 82,573,680 is 1.

Lets's calculate LCM of 235,752,461

47 235, 752, 461
5, 16, 461

∴ So the LCM of the given numbers is 47 x 5 x 16 x 461 = 1733360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1733360

Therefore, the GCF of Fractions 82/235,573/752,680/461 is 1/1733360

Least Common Multiple of 235,752,461 with GCF Formula

Least Common Multiple of 235,752,461 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 235,752,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(235,752,461) = 1

common factors(in case of two or more numbers have common factors) = 47

GCF(235,752,461) x common factors =1 x 47 = 47

LCM(235,752,461) = ( 235 × 752 × 461 ) / 47

LCM(235,752,461) = 81467920 / 47

LCM(235,752,461) = 1733360


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 82/235, 573/752, 680/461

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 82/235, 573/752, 680/461?

Answer: GCF of Numerators as per given numbers 82/235, 573/752, 680/461 is

GCF of Numerators i.e. for 82,573,680 is 1

LCM of denominators i.e. for 235,752,461 is 1733360.

Thus, GCF of Fractions is 1/1733360.Finally, GCF of Fractions for 82/235, 573/752, 680/461 is 1/1733360.