Greatest Common Factor of 5/73, 37/80, 79/573, 861/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/73, 37/80, 79/573, 861/928

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 5/73,37/80,79/573,861/928

Given fractions are 5/73,37/80,79/573,861/928

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 5,37,79,861

Greatest Common Factor of Numerators i.e. GCF of 5,37,79,861 is 1 .

LCM of Denominators means LCM of 73,80,573,928 as per the given fractions.

LCM of 73,80,573,928 is 194086560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,37,79,861

GCF of Fractions 5/73,37/80,79/573,861/928 is 1/194086560

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

Greatest Common Factor of 5,37,79,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,37,79,861 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 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 5,37,79,861 . The biggest common factor number is the GCF number.
So the greatest common factor 5,37,79,861 is 1.

Lets's calculate LCM of 73,80,573,928

2 73, 80, 573, 928
2 73, 40, 573, 464
2 73, 20, 573, 232
2 73, 10, 573, 116
73, 5, 573, 58

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 73 x 5 x 573 x 58 = 194086560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/194086560

Therefore, the GCF of Fractions 5/73,37/80,79/573,861/928 is 1/194086560

Least Common Multiple of 73,80,573,928 with GCF Formula

Least Common Multiple of 73,80,573,928 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 73,80,573,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,80,573,928) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(73,80,573,928) x common factors =1 x 16 = 16

LCM(73,80,573,928) = ( 73 × 80 × 573 × 928 ) / 16

LCM(73,80,573,928) = 3105384960 / 16

LCM(73,80,573,928) = 194086560


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 5/73, 37/80, 79/573, 861/928

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 5/73, 37/80, 79/573, 861/928?

Answer: GCF of Numerators as per given numbers 5/73, 37/80, 79/573, 861/928 is

GCF of Numerators i.e. for 5,37,79,861 is 1

LCM of denominators i.e. for 73,80,573,928 is 194086560.

Thus, GCF of Fractions is 1/194086560.Finally, GCF of Fractions for 5/73, 37/80, 79/573, 861/928 is 1/194086560.