Greatest Common Factor of 82/934, 537/232, 900/601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 82/934, 537/232, 900/601

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 82/934,537/232,900/601

Given fractions are 82/934,537/232,900/601

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 82,537,900

Greatest Common Factor of Numerators i.e. GCF of 82,537,900 is 1 .

LCM of Denominators means LCM of 934,232,601 as per the given fractions.

LCM of 934,232,601 is 65114744 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 82,537,900

GCF of Fractions 82/934,537/232,900/601 is 1/65114744

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

Greatest Common Factor of 82,537,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,537,900 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 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 82,537,900 . The biggest common factor number is the GCF number.
So the greatest common factor 82,537,900 is 1.

Lets's calculate LCM of 934,232,601

2 934, 232, 601
467, 116, 601

∴ So the LCM of the given numbers is 2 x 467 x 116 x 601 = 65114744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65114744

Therefore, the GCF of Fractions 82/934,537/232,900/601 is 1/65114744

Least Common Multiple of 934,232,601 with GCF Formula

Least Common Multiple of 934,232,601 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 934,232,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(934,232,601) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(934,232,601) x common factors =1 x 2 = 2

LCM(934,232,601) = ( 934 × 232 × 601 ) / 2

LCM(934,232,601) = 130229488 / 2

LCM(934,232,601) = 65114744


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 82/934, 537/232, 900/601

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 82/934, 537/232, 900/601?

Answer: GCF of Numerators as per given numbers 82/934, 537/232, 900/601 is

GCF of Numerators i.e. for 82,537,900 is 1

LCM of denominators i.e. for 934,232,601 is 65114744.

Thus, GCF of Fractions is 1/65114744.Finally, GCF of Fractions for 82/934, 537/232, 900/601 is 1/65114744.