Greatest Common Factor of 136/428, 872/702, 816/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 136/428, 872/702, 816/595

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 136/428,872/702,816/595

Given fractions are 136/428,872/702,816/595

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 136,872,816

Greatest Common Factor of Numerators i.e. GCF of 136,872,816 is 8 .

LCM of Denominators means LCM of 428,702,595 as per the given fractions.

LCM of 428,702,595 is 89385660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 136,872,816

GCF of Fractions 136/428,872/702,816/595 is 8/89385660

2 136, 872, 816
2 68, 436, 408
2 34, 218, 204
17, 109, 102

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 136,872,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,872,816 By Matching Biggest Common Factor Method

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 136,872,816 . The biggest common factor number is the GCF number.
So the greatest common factor 136,872,816 is 8.

Lets's calculate LCM of 428,702,595

2 428, 702, 595
214, 351, 595

∴ So the LCM of the given numbers is 2 x 214 x 351 x 595 = 89385660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/89385660

Therefore, the GCF of Fractions 136/428,872/702,816/595 is 8/89385660

Least Common Multiple of 428,702,595 with GCF Formula

Least Common Multiple of 428,702,595 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 428,702,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,702,595) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(428,702,595) x common factors =1 x 2 = 2

LCM(428,702,595) = ( 428 × 702 × 595 ) / 2

LCM(428,702,595) = 178771320 / 2

LCM(428,702,595) = 89385660


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 136/428, 872/702, 816/595

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 136/428, 872/702, 816/595?

Answer: GCF of Numerators as per given numbers 136/428, 872/702, 816/595 is

GCF of Numerators i.e. for 136,872,816 is 8

LCM of denominators i.e. for 428,702,595 is 89385660.

Thus, GCF of Fractions is 8/89385660.Finally, GCF of Fractions for 136/428, 872/702, 816/595 is 8/89385660.