Greatest Common Factor of 8/93, 53/54, 60/754, 642/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/93, 53/54, 60/754, 642/848

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 8/93,53/54,60/754,642/848

Given fractions are 8/93,53/54,60/754,642/848

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 8,53,60,642

Greatest Common Factor of Numerators i.e. GCF of 8,53,60,642 is 1 .

LCM of Denominators means LCM of 93,54,754,848 as per the given fractions.

LCM of 93,54,754,848 is 267585552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,53,60,642

GCF of Fractions 8/93,53/54,60/754,642/848 is 1/267585552

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

Greatest Common Factor of 8,53,60,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,53,60,642 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 8,53,60,642 . The biggest common factor number is the GCF number.
So the greatest common factor 8,53,60,642 is 1.

Lets's calculate LCM of 93,54,754,848

2 93, 54, 754, 848
3 93, 27, 377, 424
31, 9, 377, 424

∴ So the LCM of the given numbers is 2 x 3 x 31 x 9 x 377 x 424 = 267585552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/267585552

Therefore, the GCF of Fractions 8/93,53/54,60/754,642/848 is 1/267585552

Least Common Multiple of 93,54,754,848 with GCF Formula

Least Common Multiple of 93,54,754,848 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 93,54,754,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,54,754,848) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(93,54,754,848) x common factors =1 x 12 = 12

LCM(93,54,754,848) = ( 93 × 54 × 754 × 848 ) / 12

LCM(93,54,754,848) = 3211026624 / 12

LCM(93,54,754,848) = 267585552


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 8/93, 53/54, 60/754, 642/848

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 8/93, 53/54, 60/754, 642/848?

Answer: GCF of Numerators as per given numbers 8/93, 53/54, 60/754, 642/848 is

GCF of Numerators i.e. for 8,53,60,642 is 1

LCM of denominators i.e. for 93,54,754,848 is 267585552.

Thus, GCF of Fractions is 1/267585552.Finally, GCF of Fractions for 8/93, 53/54, 60/754, 642/848 is 1/267585552.