Greatest Common Factor of 59/93, 885/66, 138/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 59/93, 885/66, 138/640

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 59/93,885/66,138/640

Given fractions are 59/93,885/66,138/640

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 59,885,138

Greatest Common Factor of Numerators i.e. GCF of 59,885,138 is 1 .

LCM of Denominators means LCM of 93,66,640 as per the given fractions.

LCM of 93,66,640 is 654720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 59,885,138

GCF of Fractions 59/93,885/66,138/640 is 1/654720

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

Greatest Common Factor of 59,885,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,885,138 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 59,885,138 . The biggest common factor number is the GCF number.
So the greatest common factor 59,885,138 is 1.

Lets's calculate LCM of 93,66,640

2 93, 66, 640
3 93, 33, 320
31, 11, 320

∴ So the LCM of the given numbers is 2 x 3 x 31 x 11 x 320 = 654720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/654720

Therefore, the GCF of Fractions 59/93,885/66,138/640 is 1/654720

Least Common Multiple of 93,66,640 with GCF Formula

Least Common Multiple of 93,66,640 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 93,66,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,66,640) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(93,66,640) x common factors =1 x 6 = 6

LCM(93,66,640) = ( 93 × 66 × 640 ) / 6

LCM(93,66,640) = 3928320 / 6

LCM(93,66,640) = 654720


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 59/93, 885/66, 138/640

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 59/93, 885/66, 138/640?

Answer: GCF of Numerators as per given numbers 59/93, 885/66, 138/640 is

GCF of Numerators i.e. for 59,885,138 is 1

LCM of denominators i.e. for 93,66,640 is 654720.

Thus, GCF of Fractions is 1/654720.Finally, GCF of Fractions for 59/93, 885/66, 138/640 is 1/654720.