Greatest Common Factor of 136/91, 583/34, 678/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 136/91, 583/34, 678/546

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 136/91,583/34,678/546

Given fractions are 136/91,583/34,678/546

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 136,583,678

Greatest Common Factor of Numerators i.e. GCF of 136,583,678 is 1 .

LCM of Denominators means LCM of 91,34,546 as per the given fractions.

LCM of 91,34,546 is 9282 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 136,583,678

GCF of Fractions 136/91,583/34,678/546 is 1/9282

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

Greatest Common Factor of 136,583,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,583,678 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 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 136,583,678 . The biggest common factor number is the GCF number.
So the greatest common factor 136,583,678 is 1.

Lets's calculate LCM of 91,34,546

2 91, 34, 546
7 91, 17, 273
13 13, 17, 39
1, 17, 3

∴ So the LCM of the given numbers is 2 x 7 x 13 x 1 x 17 x 3 = 9282

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9282

Therefore, the GCF of Fractions 136/91,583/34,678/546 is 1/9282

Least Common Multiple of 91,34,546 with GCF Formula

Least Common Multiple of 91,34,546 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 91,34,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,34,546) = 1

common factors(in case of two or more numbers have common factors) = 182

GCF(91,34,546) x common factors =1 x 182 = 182

LCM(91,34,546) = ( 91 × 34 × 546 ) / 182

LCM(91,34,546) = 1689324 / 182

LCM(91,34,546) = 9282


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 136/91, 583/34, 678/546

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 136/91, 583/34, 678/546?

Answer: GCF of Numerators as per given numbers 136/91, 583/34, 678/546 is

GCF of Numerators i.e. for 136,583,678 is 1

LCM of denominators i.e. for 91,34,546 is 9282.

Thus, GCF of Fractions is 1/9282.Finally, GCF of Fractions for 136/91, 583/34, 678/546 is 1/9282.