Greatest Common Factor of 27/57, 98/615, 501/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/57, 98/615, 501/665

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 27/57,98/615,501/665

Given fractions are 27/57,98/615,501/665

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 27,98,501

Greatest Common Factor of Numerators i.e. GCF of 27,98,501 is 1 .

LCM of Denominators means LCM of 57,615,665 as per the given fractions.

LCM of 57,615,665 is 81795 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,98,501

GCF of Fractions 27/57,98/615,501/665 is 1/81795

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

Greatest Common Factor of 27,98,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,98,501 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Greatest Common Factor

We found the factors 27,98,501 . The biggest common factor number is the GCF number.
So the greatest common factor 27,98,501 is 1.

Lets's calculate LCM of 57,615,665

3 57, 615, 665
5 19, 205, 665
19 19, 41, 133
1, 41, 7

∴ So the LCM of the given numbers is 3 x 5 x 19 x 1 x 41 x 7 = 81795

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81795

Therefore, the GCF of Fractions 27/57,98/615,501/665 is 1/81795

Least Common Multiple of 57,615,665 with GCF Formula

Least Common Multiple of 57,615,665 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 57,615,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,615,665) = 1

common factors(in case of two or more numbers have common factors) = 285

GCF(57,615,665) x common factors =1 x 285 = 285

LCM(57,615,665) = ( 57 × 615 × 665 ) / 285

LCM(57,615,665) = 23311575 / 285

LCM(57,615,665) = 81795


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 27/57, 98/615, 501/665

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 27/57, 98/615, 501/665?

Answer: GCF of Numerators as per given numbers 27/57, 98/615, 501/665 is

GCF of Numerators i.e. for 27,98,501 is 1

LCM of denominators i.e. for 57,615,665 is 81795.

Thus, GCF of Fractions is 1/81795.Finally, GCF of Fractions for 27/57, 98/615, 501/665 is 1/81795.