Greatest Common Factor of 5/56, 21/88, 75/638, 812/863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/56, 21/88, 75/638, 812/863

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 5/56,21/88,75/638,812/863

Given fractions are 5/56,21/88,75/638,812/863

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 5,21,75,812

Greatest Common Factor of Numerators i.e. GCF of 5,21,75,812 is 1 .

LCM of Denominators means LCM of 56,88,638,863 as per the given fractions.

LCM of 56,88,638,863 is 15416632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,21,75,812

GCF of Fractions 5/56,21/88,75/638,812/863 is 1/15416632

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

Greatest Common Factor of 5,21,75,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,21,75,812 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 5,21,75,812 . The biggest common factor number is the GCF number.
So the greatest common factor 5,21,75,812 is 1.

Lets's calculate LCM of 56,88,638,863

2 56, 88, 638, 863
2 28, 44, 319, 863
2 14, 22, 319, 863
11 7, 11, 319, 863
7, 1, 29, 863

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 7 x 1 x 29 x 863 = 15416632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15416632

Therefore, the GCF of Fractions 5/56,21/88,75/638,812/863 is 1/15416632

Least Common Multiple of 56,88,638,863 with GCF Formula

Least Common Multiple of 56,88,638,863 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 56,88,638,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,88,638,863) = 1

common factors(in case of two or more numbers have common factors) = 176

GCF(56,88,638,863) x common factors =1 x 176 = 176

LCM(56,88,638,863) = ( 56 × 88 × 638 × 863 ) / 176

LCM(56,88,638,863) = 2713327232 / 176

LCM(56,88,638,863) = 15416632


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 5/56, 21/88, 75/638, 812/863

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 5/56, 21/88, 75/638, 812/863?

Answer: GCF of Numerators as per given numbers 5/56, 21/88, 75/638, 812/863 is

GCF of Numerators i.e. for 5,21,75,812 is 1

LCM of denominators i.e. for 56,88,638,863 is 15416632.

Thus, GCF of Fractions is 1/15416632.Finally, GCF of Fractions for 5/56, 21/88, 75/638, 812/863 is 1/15416632.