Greatest Common Factor of 159/81, 640/13, 834/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 159/81, 640/13, 834/872

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 159/81,640/13,834/872

Given fractions are 159/81,640/13,834/872

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 159,640,834

Greatest Common Factor of Numerators i.e. GCF of 159,640,834 is 1 .

LCM of Denominators means LCM of 81,13,872 as per the given fractions.

LCM of 81,13,872 is 918216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 159,640,834

GCF of Fractions 159/81,640/13,834/872 is 1/918216

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

Greatest Common Factor of 159,640,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 159,640,834 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 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 159,640,834 . The biggest common factor number is the GCF number.
So the greatest common factor 159,640,834 is 1.

Lets's calculate LCM of 81,13,872

Given numbers has no common factors except 1. So, there LCM is their product i.e 918216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/918216

Therefore, the GCF of Fractions 159/81,640/13,834/872 is 1/918216

Least Common Multiple of 81,13,872 with GCF Formula

Least Common Multiple of 81,13,872 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 81,13,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,13,872) = 1

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

GCF(81,13,872) x common factors =1 x 1 = 1

LCM(81,13,872) = ( 81 × 13 × 872 ) / 1

LCM(81,13,872) = 918216 / 1

LCM(81,13,872) = 918216


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 159/81, 640/13, 834/872

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 159/81, 640/13, 834/872?

Answer: GCF of Numerators as per given numbers 159/81, 640/13, 834/872 is

GCF of Numerators i.e. for 159,640,834 is 1

LCM of denominators i.e. for 81,13,872 is 918216.

Thus, GCF of Fractions is 1/918216.Finally, GCF of Fractions for 159/81, 640/13, 834/872 is 1/918216.