Greatest Common Factor of 159/706, 723/424, 656/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 159/706, 723/424, 656/596

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 159/706,723/424,656/596

Given fractions are 159/706,723/424,656/596

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 159,723,656

Greatest Common Factor of Numerators i.e. GCF of 159,723,656 is 1 .

LCM of Denominators means LCM of 706,424,596 as per the given fractions.

LCM of 706,424,596 is 22301128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 159,723,656

GCF of Fractions 159/706,723/424,656/596 is 1/22301128

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

Greatest Common Factor of 159,723,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 159,723,656 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 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 159,723,656 . The biggest common factor number is the GCF number.
So the greatest common factor 159,723,656 is 1.

Lets's calculate LCM of 706,424,596

2 706, 424, 596
2 353, 212, 298
353, 106, 149

∴ So the LCM of the given numbers is 2 x 2 x 353 x 106 x 149 = 22301128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22301128

Therefore, the GCF of Fractions 159/706,723/424,656/596 is 1/22301128

Least Common Multiple of 706,424,596 with GCF Formula

Least Common Multiple of 706,424,596 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 706,424,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,424,596) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(706,424,596) x common factors =2 x 4 = 8

LCM(706,424,596) = ( 706 × 424 × 596 ) / 8

LCM(706,424,596) = 178409024 / 8

LCM(706,424,596) = 22301128


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 159/706, 723/424, 656/596

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 159/706, 723/424, 656/596?

Answer: GCF of Numerators as per given numbers 159/706, 723/424, 656/596 is

GCF of Numerators i.e. for 159,723,656 is 1

LCM of denominators i.e. for 706,424,596 is 22301128.

Thus, GCF of Fractions is 1/22301128.Finally, GCF of Fractions for 159/706, 723/424, 656/596 is 1/22301128.