Greatest Common Factor of 27/58, 92/65, 82/31, 22/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/58, 92/65, 82/31, 22/513

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 27/58,92/65,82/31,22/513

Given fractions are 27/58,92/65,82/31,22/513

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 27,92,82,22

Greatest Common Factor of Numerators i.e. GCF of 27,92,82,22 is 1 .

LCM of Denominators means LCM of 58,65,31,513 as per the given fractions.

LCM of 58,65,31,513 is 59954310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,92,82,22

GCF of Fractions 27/58,92/65,82/31,22/513 is 1/59954310

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

Greatest Common Factor of 27,92,82,22 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,92,82,22 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 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 82

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

1,2,41,82

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Greatest Common Factor

We found the factors 27,92,82,22 . The biggest common factor number is the GCF number.
So the greatest common factor 27,92,82,22 is 1.

Lets's calculate LCM of 58,65,31,513

Given numbers has no common factors except 1. So, there LCM is their product i.e 59954310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59954310

Therefore, the GCF of Fractions 27/58,92/65,82/31,22/513 is 1/59954310

Least Common Multiple of 58,65,31,513 with GCF Formula

Least Common Multiple of 58,65,31,513 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 58,65,31,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,65,31,513) = 1

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

GCF(58,65,31,513) x common factors =1 x 1 = 1

LCM(58,65,31,513) = ( 58 × 65 × 31 × 513 ) / 1

LCM(58,65,31,513) = 59954310 / 1

LCM(58,65,31,513) = 59954310


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 27/58, 92/65, 82/31, 22/513

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 27/58, 92/65, 82/31, 22/513?

Answer: GCF of Numerators as per given numbers 27/58, 92/65, 82/31, 22/513 is

GCF of Numerators i.e. for 27,92,82,22 is 1

LCM of denominators i.e. for 58,65,31,513 is 59954310.

Thus, GCF of Fractions is 1/59954310.Finally, GCF of Fractions for 27/58, 92/65, 82/31, 22/513 is 1/59954310.