Greatest Common Factor of 687/63, 375/56, 813/39

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 687/63, 375/56, 813/39

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 687/63,375/56,813/39

Given fractions are 687/63,375/56,813/39

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 687,375,813

Greatest Common Factor of Numerators i.e. GCF of 687,375,813 is 3 .

LCM of Denominators means LCM of 63,56,39 as per the given fractions.

LCM of 63,56,39 is 6552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 687,375,813

GCF of Fractions 687/63,375/56,813/39 is 3/6552

3 687, 375, 813
229, 125, 271

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 687,375,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,375,813 By Matching Biggest Common Factor Method

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

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 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 687,375,813 . The biggest common factor number is the GCF number.
So the greatest common factor 687,375,813 is 3.

Lets's calculate LCM of 63,56,39

3 63, 56, 39
7 21, 56, 13
3, 8, 13

∴ So the LCM of the given numbers is 3 x 7 x 3 x 8 x 13 = 6552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6552

Therefore, the GCF of Fractions 687/63,375/56,813/39 is 3/6552

Least Common Multiple of 63,56,39 with GCF Formula

Least Common Multiple of 63,56,39 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 63,56,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,56,39) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(63,56,39) x common factors =1 x 21 = 21

LCM(63,56,39) = ( 63 × 56 × 39 ) / 21

LCM(63,56,39) = 137592 / 21

LCM(63,56,39) = 6552


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 687/63, 375/56, 813/39

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 687/63, 375/56, 813/39?

Answer: GCF of Numerators as per given numbers 687/63, 375/56, 813/39 is

GCF of Numerators i.e. for 687,375,813 is 3

LCM of denominators i.e. for 63,56,39 is 6552.

Thus, GCF of Fractions is 3/6552.Finally, GCF of Fractions for 687/63, 375/56, 813/39 is 3/6552.