Greatest Common Factor of 241/47, 342/76, 151/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 241/47, 342/76, 151/218

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 241/47,342/76,151/218

Given fractions are 241/47,342/76,151/218

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 241,342,151

Greatest Common Factor of Numerators i.e. GCF of 241,342,151 is 1 .

LCM of Denominators means LCM of 47,76,218 as per the given fractions.

LCM of 47,76,218 is 389348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 241,342,151

GCF of Fractions 241/47,342/76,151/218 is 1/389348

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

Greatest Common Factor of 241,342,151 By Matching Biggest Common Factor Method

Greatest Common Factor of 241,342,151 By Matching Biggest Common Factor Method

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Greatest Common Factor

We found the factors 241,342,151 . The biggest common factor number is the GCF number.
So the greatest common factor 241,342,151 is 1.

Lets's calculate LCM of 47,76,218

2 47, 76, 218
47, 38, 109

∴ So the LCM of the given numbers is 2 x 47 x 38 x 109 = 389348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/389348

Therefore, the GCF of Fractions 241/47,342/76,151/218 is 1/389348

Least Common Multiple of 47,76,218 with GCF Formula

Least Common Multiple of 47,76,218 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 47,76,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,76,218) = 1

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

GCF(47,76,218) x common factors =1 x 2 = 2

LCM(47,76,218) = ( 47 × 76 × 218 ) / 2

LCM(47,76,218) = 778696 / 2

LCM(47,76,218) = 389348


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 241/47, 342/76, 151/218

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 241/47, 342/76, 151/218?

Answer: GCF of Numerators as per given numbers 241/47, 342/76, 151/218 is

GCF of Numerators i.e. for 241,342,151 is 1

LCM of denominators i.e. for 47,76,218 is 389348.

Thus, GCF of Fractions is 1/389348.Finally, GCF of Fractions for 241/47, 342/76, 151/218 is 1/389348.