Greatest Common Factor of 54/67, 65/42, 158/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 54/67, 65/42, 158/306

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 54/67,65/42,158/306

Given fractions are 54/67,65/42,158/306

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 54,65,158

Greatest Common Factor of Numerators i.e. GCF of 54,65,158 is 1 .

LCM of Denominators means LCM of 67,42,306 as per the given fractions.

LCM of 67,42,306 is 143514 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 54,65,158

GCF of Fractions 54/67,65/42,158/306 is 1/143514

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

Greatest Common Factor of 54,65,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,65,158 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 54,65,158 . The biggest common factor number is the GCF number.
So the greatest common factor 54,65,158 is 1.

Lets's calculate LCM of 67,42,306

2 67, 42, 306
3 67, 21, 153
67, 7, 51

∴ So the LCM of the given numbers is 2 x 3 x 67 x 7 x 51 = 143514

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143514

Therefore, the GCF of Fractions 54/67,65/42,158/306 is 1/143514

Least Common Multiple of 67,42,306 with GCF Formula

Least Common Multiple of 67,42,306 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 67,42,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,42,306) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(67,42,306) x common factors =1 x 6 = 6

LCM(67,42,306) = ( 67 × 42 × 306 ) / 6

LCM(67,42,306) = 861084 / 6

LCM(67,42,306) = 143514


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 54/67, 65/42, 158/306

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 54/67, 65/42, 158/306?

Answer: GCF of Numerators as per given numbers 54/67, 65/42, 158/306 is

GCF of Numerators i.e. for 54,65,158 is 1

LCM of denominators i.e. for 67,42,306 is 143514.

Thus, GCF of Fractions is 1/143514.Finally, GCF of Fractions for 54/67, 65/42, 158/306 is 1/143514.