Greatest Common Factor of 737/68, 136/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 737/68, 136/642

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 737/68,136/642

Given fractions are 737/68,136/642

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 737,136

Greatest Common Factor of Numerators i.e. GCF of 737,136 is 1 .

LCM of Denominators means LCM of 68,642 as per the given fractions.

LCM of 68,642 is 21828 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 737,136

GCF of Fractions 737/68,136/642 is 1/21828

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

Greatest Common Factor of 737,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 737,136 By Matching Biggest Common Factor Method

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Factors of 136

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

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

Greatest Common Factor

We found the factors 737,136 . The biggest common factor number is the GCF number.
So the greatest common factor 737,136 is 1.

Lets's calculate LCM of 68,642

2 68, 642
34, 321

∴ So the LCM of the given numbers is 2 x 34 x 321 = 21828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21828

Therefore, the GCF of Fractions 737/68,136/642 is 1/21828

Least Common Multiple of 68,642 with GCF Formula

Least Common Multiple of 68,642 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 68,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,642) = 2

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

GCF(68,642) x common factors =2 x 1 = 2

LCM(68,642) = ( 68 × 642 ) / 2

LCM(68,642) = 43656 / 2

LCM(68,642) = 21828


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 737/68, 136/642

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 737/68, 136/642?

Answer: GCF of Numerators as per given numbers 737/68, 136/642 is

GCF of Numerators i.e. for 737,136 is 1

LCM of denominators i.e. for 68,642 is 21828.

Thus, GCF of Fractions is 1/21828.Finally, GCF of Fractions for 737/68, 136/642 is 1/21828.