Greatest Common Factor of 712/27, 375/58, 564/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 712/27, 375/58, 564/493

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 712/27,375/58,564/493

Given fractions are 712/27,375/58,564/493

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 712,375,564

Greatest Common Factor of Numerators i.e. GCF of 712,375,564 is 1 .

LCM of Denominators means LCM of 27,58,493 as per the given fractions.

LCM of 27,58,493 is 26622 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 712,375,564

GCF of Fractions 712/27,375/58,564/493 is 1/26622

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

Greatest Common Factor of 712,375,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,375,564 By Matching Biggest Common Factor Method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 712,375,564 . The biggest common factor number is the GCF number.
So the greatest common factor 712,375,564 is 1.

Lets's calculate LCM of 27,58,493

29 27, 58, 493
27, 2, 17

∴ So the LCM of the given numbers is 29 x 27 x 2 x 17 = 26622

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26622

Therefore, the GCF of Fractions 712/27,375/58,564/493 is 1/26622

Least Common Multiple of 27,58,493 with GCF Formula

Least Common Multiple of 27,58,493 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 27,58,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,58,493) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(27,58,493) x common factors =1 x 29 = 29

LCM(27,58,493) = ( 27 × 58 × 493 ) / 29

LCM(27,58,493) = 772038 / 29

LCM(27,58,493) = 26622


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 712/27, 375/58, 564/493

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 712/27, 375/58, 564/493?

Answer: GCF of Numerators as per given numbers 712/27, 375/58, 564/493 is

GCF of Numerators i.e. for 712,375,564 is 1

LCM of denominators i.e. for 27,58,493 is 26622.

Thus, GCF of Fractions is 1/26622.Finally, GCF of Fractions for 712/27, 375/58, 564/493 is 1/26622.