Greatest Common Factor of 42/54, 33/95, 328/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/54, 33/95, 328/182

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 42/54,33/95,328/182

Given fractions are 42/54,33/95,328/182

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 42,33,328

Greatest Common Factor of Numerators i.e. GCF of 42,33,328 is 1 .

LCM of Denominators means LCM of 54,95,182 as per the given fractions.

LCM of 54,95,182 is 466830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,33,328

GCF of Fractions 42/54,33/95,328/182 is 1/466830

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

Greatest Common Factor of 42,33,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,33,328 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

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

Greatest Common Factor

We found the factors 42,33,328 . The biggest common factor number is the GCF number.
So the greatest common factor 42,33,328 is 1.

Lets's calculate LCM of 54,95,182

2 54, 95, 182
27, 95, 91

∴ So the LCM of the given numbers is 2 x 27 x 95 x 91 = 466830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/466830

Therefore, the GCF of Fractions 42/54,33/95,328/182 is 1/466830

Least Common Multiple of 54,95,182 with GCF Formula

Least Common Multiple of 54,95,182 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 54,95,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,95,182) = 1

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

GCF(54,95,182) x common factors =1 x 2 = 2

LCM(54,95,182) = ( 54 × 95 × 182 ) / 2

LCM(54,95,182) = 933660 / 2

LCM(54,95,182) = 466830


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 42/54, 33/95, 328/182

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 42/54, 33/95, 328/182?

Answer: GCF of Numerators as per given numbers 42/54, 33/95, 328/182 is

GCF of Numerators i.e. for 42,33,328 is 1

LCM of denominators i.e. for 54,95,182 is 466830.

Thus, GCF of Fractions is 1/466830.Finally, GCF of Fractions for 42/54, 33/95, 328/182 is 1/466830.