Greatest Common Factor of 4/48, 29/66, 15/242, 391/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/48, 29/66, 15/242, 391/854

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 4/48,29/66,15/242,391/854

Given fractions are 4/48,29/66,15/242,391/854

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 4,29,15,391

Greatest Common Factor of Numerators i.e. GCF of 4,29,15,391 is 1 .

LCM of Denominators means LCM of 48,66,242,854 as per the given fractions.

LCM of 48,66,242,854 is 2480016 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,29,15,391

GCF of Fractions 4/48,29/66,15/242,391/854 is 1/2480016

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

Greatest Common Factor of 4,29,15,391 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,29,15,391 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Greatest Common Factor

We found the factors 4,29,15,391 . The biggest common factor number is the GCF number.
So the greatest common factor 4,29,15,391 is 1.

Lets's calculate LCM of 48,66,242,854

2 48, 66, 242, 854
3 24, 33, 121, 427
11 8, 11, 121, 427
8, 1, 11, 427

∴ So the LCM of the given numbers is 2 x 3 x 11 x 8 x 1 x 11 x 427 = 2480016

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2480016

Therefore, the GCF of Fractions 4/48,29/66,15/242,391/854 is 1/2480016

Least Common Multiple of 48,66,242,854 with GCF Formula

Least Common Multiple of 48,66,242,854 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 48,66,242,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,66,242,854) = 2

common factors(in case of two or more numbers have common factors) = 132

GCF(48,66,242,854) x common factors =2 x 132 = 264

LCM(48,66,242,854) = ( 48 × 66 × 242 × 854 ) / 264

LCM(48,66,242,854) = 654724224 / 264

LCM(48,66,242,854) = 2480016


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 4/48, 29/66, 15/242, 391/854

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 4/48, 29/66, 15/242, 391/854?

Answer: GCF of Numerators as per given numbers 4/48, 29/66, 15/242, 391/854 is

GCF of Numerators i.e. for 4,29,15,391 is 1

LCM of denominators i.e. for 48,66,242,854 is 2480016.

Thus, GCF of Fractions is 1/2480016.Finally, GCF of Fractions for 4/48, 29/66, 15/242, 391/854 is 1/2480016.