Greatest Common Factor of 159/600, 1366/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 159/600, 1366/726

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 159/600,1366/726

Given fractions are 159/600,1366/726

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 159,1366

Greatest Common Factor of Numerators i.e. GCF of 159,1366 is 1 .

LCM of Denominators means LCM of 600,726 as per the given fractions.

LCM of 600,726 is 72600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 159,1366

GCF of Fractions 159/600,1366/726 is 1/72600

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

Greatest Common Factor of 159,1366 By Matching Biggest Common Factor Method

Greatest Common Factor of 159,1366 By Matching Biggest Common Factor Method

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 1366

List of positive integer factors of 1366 that divides 1366 without a remainder.

1,2,683,1366

Greatest Common Factor

We found the factors 159,1366 . The biggest common factor number is the GCF number.
So the greatest common factor 159,1366 is 1.

Lets's calculate LCM of 600,726

2 600, 726
3 300, 363
100, 121

∴ So the LCM of the given numbers is 2 x 3 x 100 x 121 = 72600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72600

Therefore, the GCF of Fractions 159/600,1366/726 is 1/72600

Least Common Multiple of 600,726 with GCF Formula

Least Common Multiple of 600,726 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 600,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,726) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(600,726) x common factors =6 x 1 = 6

LCM(600,726) = ( 600 × 726 ) / 6

LCM(600,726) = 435600 / 6

LCM(600,726) = 72600


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 159/600, 1366/726

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 159/600, 1366/726?

Answer: GCF of Numerators as per given numbers 159/600, 1366/726 is

GCF of Numerators i.e. for 159,1366 is 1

LCM of denominators i.e. for 600,726 is 72600.

Thus, GCF of Fractions is 1/72600.Finally, GCF of Fractions for 159/600, 1366/726 is 1/72600.