Greatest Common Factor of 382/51, 118/61, 324/30

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 382/51, 118/61, 324/30

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 382/51,118/61,324/30

Given fractions are 382/51,118/61,324/30

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 382,118,324

Greatest Common Factor of Numerators i.e. GCF of 382,118,324 is 2 .

LCM of Denominators means LCM of 51,61,30 as per the given fractions.

LCM of 51,61,30 is 31110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 382,118,324

GCF of Fractions 382/51,118/61,324/30 is 2/31110

2 382, 118, 324
191, 59, 162

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

Greatest Common Factor of 382,118,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,118,324 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 382,118,324 . The biggest common factor number is the GCF number.
So the greatest common factor 382,118,324 is 2.

Lets's calculate LCM of 51,61,30

3 51, 61, 30
17, 61, 10

∴ So the LCM of the given numbers is 3 x 17 x 61 x 10 = 31110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31110

Therefore, the GCF of Fractions 382/51,118/61,324/30 is 2/31110

Least Common Multiple of 51,61,30 with GCF Formula

Least Common Multiple of 51,61,30 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 51,61,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,61,30) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(51,61,30) x common factors =1 x 3 = 3

LCM(51,61,30) = ( 51 × 61 × 30 ) / 3

LCM(51,61,30) = 93330 / 3

LCM(51,61,30) = 31110


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 382/51, 118/61, 324/30

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 382/51, 118/61, 324/30?

Answer: GCF of Numerators as per given numbers 382/51, 118/61, 324/30 is

GCF of Numerators i.e. for 382,118,324 is 2

LCM of denominators i.e. for 51,61,30 is 31110.

Thus, GCF of Fractions is 2/31110.Finally, GCF of Fractions for 382/51, 118/61, 324/30 is 2/31110.