Greatest Common Factor of 5/54, 48/47, 64/404, 222/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/54, 48/47, 64/404, 222/462

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 5/54,48/47,64/404,222/462

Given fractions are 5/54,48/47,64/404,222/462

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 5,48,64,222

Greatest Common Factor of Numerators i.e. GCF of 5,48,64,222 is 1 .

LCM of Denominators means LCM of 54,47,404,462 as per the given fractions.

LCM of 54,47,404,462 is 39476052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,48,64,222

GCF of Fractions 5/54,48/47,64/404,222/462 is 1/39476052

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

Greatest Common Factor of 5,48,64,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,48,64,222 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 5,48,64,222 . The biggest common factor number is the GCF number.
So the greatest common factor 5,48,64,222 is 1.

Lets's calculate LCM of 54,47,404,462

2 54, 47, 404, 462
3 27, 47, 202, 231
9, 47, 202, 77

∴ So the LCM of the given numbers is 2 x 3 x 9 x 47 x 202 x 77 = 39476052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39476052

Therefore, the GCF of Fractions 5/54,48/47,64/404,222/462 is 1/39476052

Least Common Multiple of 54,47,404,462 with GCF Formula

Least Common Multiple of 54,47,404,462 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 54,47,404,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,47,404,462) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(54,47,404,462) x common factors =1 x 12 = 12

LCM(54,47,404,462) = ( 54 × 47 × 404 × 462 ) / 12

LCM(54,47,404,462) = 473712624 / 12

LCM(54,47,404,462) = 39476052


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 5/54, 48/47, 64/404, 222/462

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 5/54, 48/47, 64/404, 222/462?

Answer: GCF of Numerators as per given numbers 5/54, 48/47, 64/404, 222/462 is

GCF of Numerators i.e. for 5,48,64,222 is 1

LCM of denominators i.e. for 54,47,404,462 is 39476052.

Thus, GCF of Fractions is 1/39476052.Finally, GCF of Fractions for 5/54, 48/47, 64/404, 222/462 is 1/39476052.