Greatest Common Factor of 82/37, 525/57, 410/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 82/37, 525/57, 410/549

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 82/37,525/57,410/549

Given fractions are 82/37,525/57,410/549

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 82,525,410

Greatest Common Factor of Numerators i.e. GCF of 82,525,410 is 1 .

LCM of Denominators means LCM of 37,57,549 as per the given fractions.

LCM of 37,57,549 is 385947 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 82,525,410

GCF of Fractions 82/37,525/57,410/549 is 1/385947

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

Greatest Common Factor of 82,525,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,525,410 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 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 82,525,410 . The biggest common factor number is the GCF number.
So the greatest common factor 82,525,410 is 1.

Lets's calculate LCM of 37,57,549

3 37, 57, 549
37, 19, 183

∴ So the LCM of the given numbers is 3 x 37 x 19 x 183 = 385947

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/385947

Therefore, the GCF of Fractions 82/37,525/57,410/549 is 1/385947

Least Common Multiple of 37,57,549 with GCF Formula

Least Common Multiple of 37,57,549 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 37,57,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,57,549) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(37,57,549) x common factors =1 x 3 = 3

LCM(37,57,549) = ( 37 × 57 × 549 ) / 3

LCM(37,57,549) = 1157841 / 3

LCM(37,57,549) = 385947


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 82/37, 525/57, 410/549

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 82/37, 525/57, 410/549?

Answer: GCF of Numerators as per given numbers 82/37, 525/57, 410/549 is

GCF of Numerators i.e. for 82,525,410 is 1

LCM of denominators i.e. for 37,57,549 is 385947.

Thus, GCF of Fractions is 1/385947.Finally, GCF of Fractions for 82/37, 525/57, 410/549 is 1/385947.