Greatest Common Factor of 66/63, 859/64, 135/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/63, 859/64, 135/369

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 66/63,859/64,135/369

Given fractions are 66/63,859/64,135/369

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 66,859,135

Greatest Common Factor of Numerators i.e. GCF of 66,859,135 is 1 .

LCM of Denominators means LCM of 63,64,369 as per the given fractions.

LCM of 63,64,369 is 165312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,859,135

GCF of Fractions 66/63,859/64,135/369 is 1/165312

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

Greatest Common Factor of 66,859,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,859,135 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 66,859,135 . The biggest common factor number is the GCF number.
So the greatest common factor 66,859,135 is 1.

Lets's calculate LCM of 63,64,369

3 63, 64, 369
3 21, 64, 123
7, 64, 41

∴ So the LCM of the given numbers is 3 x 3 x 7 x 64 x 41 = 165312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165312

Therefore, the GCF of Fractions 66/63,859/64,135/369 is 1/165312

Least Common Multiple of 63,64,369 with GCF Formula

Least Common Multiple of 63,64,369 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 63,64,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,64,369) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(63,64,369) x common factors =1 x 9 = 9

LCM(63,64,369) = ( 63 × 64 × 369 ) / 9

LCM(63,64,369) = 1487808 / 9

LCM(63,64,369) = 165312


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 66/63, 859/64, 135/369

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 66/63, 859/64, 135/369?

Answer: GCF of Numerators as per given numbers 66/63, 859/64, 135/369 is

GCF of Numerators i.e. for 66,859,135 is 1

LCM of denominators i.e. for 63,64,369 is 165312.

Thus, GCF of Fractions is 1/165312.Finally, GCF of Fractions for 66/63, 859/64, 135/369 is 1/165312.