Greatest Common Factor of 158/42, 5094/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 158/42, 5094/384

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 158/42,5094/384

Given fractions are 158/42,5094/384

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 158,5094

Greatest Common Factor of Numerators i.e. GCF of 158,5094 is 2 .

LCM of Denominators means LCM of 42,384 as per the given fractions.

LCM of 42,384 is 2688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 158,5094

GCF of Fractions 158/42,5094/384 is 2/2688

2 158, 5094
79, 2547

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

Greatest Common Factor of 158,5094 By Matching Biggest Common Factor Method

Greatest Common Factor of 158,5094 By Matching Biggest Common Factor Method

Factors of 158

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

1,2,79,158

Factors of 5094

List of positive integer factors of 5094 that divides 5094 without a remainder.

1,2,3,6,9,18,283,566,849,1698,2547,5094

Greatest Common Factor

We found the factors 158,5094 . The biggest common factor number is the GCF number.
So the greatest common factor 158,5094 is 2.

Lets's calculate LCM of 42,384

2 42, 384
3 21, 192
7, 64

∴ So the LCM of the given numbers is 2 x 3 x 7 x 64 = 2688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2688

Therefore, the GCF of Fractions 158/42,5094/384 is 2/2688

Least Common Multiple of 42,384 with GCF Formula

Least Common Multiple of 42,384 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 42,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,384) = 6

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

GCF(42,384) x common factors =6 x 1 = 6

LCM(42,384) = ( 42 × 384 ) / 6

LCM(42,384) = 16128 / 6

LCM(42,384) = 2688


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 158/42, 5094/384

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 158/42, 5094/384?

Answer: GCF of Numerators as per given numbers 158/42, 5094/384 is

GCF of Numerators i.e. for 158,5094 is 2

LCM of denominators i.e. for 42,384 is 2688.

Thus, GCF of Fractions is 2/2688.Finally, GCF of Fractions for 158/42, 5094/384 is 2/2688.