Greatest Common Factor of 8/54, 32/12, 53/362, 299/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/54, 32/12, 53/362, 299/405

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 8/54,32/12,53/362,299/405

Given fractions are 8/54,32/12,53/362,299/405

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 8,32,53,299

Greatest Common Factor of Numerators i.e. GCF of 8,32,53,299 is 1 .

LCM of Denominators means LCM of 54,12,362,405 as per the given fractions.

LCM of 54,12,362,405 is 293220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,32,53,299

GCF of Fractions 8/54,32/12,53/362,299/405 is 1/293220

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

Greatest Common Factor of 8,32,53,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,32,53,299 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 8,32,53,299 . The biggest common factor number is the GCF number.
So the greatest common factor 8,32,53,299 is 1.

Lets's calculate LCM of 54,12,362,405

2 54, 12, 362, 405
3 27, 6, 181, 405
3 9, 2, 181, 135
3 3, 2, 181, 45
1, 2, 181, 15

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 2 x 181 x 15 = 293220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/293220

Therefore, the GCF of Fractions 8/54,32/12,53/362,299/405 is 1/293220

Least Common Multiple of 54,12,362,405 with GCF Formula

Least Common Multiple of 54,12,362,405 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 54,12,362,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,12,362,405) = 1

common factors(in case of two or more numbers have common factors) = 324

GCF(54,12,362,405) x common factors =1 x 324 = 324

LCM(54,12,362,405) = ( 54 × 12 × 362 × 405 ) / 324

LCM(54,12,362,405) = 95003280 / 324

LCM(54,12,362,405) = 293220


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 8/54, 32/12, 53/362, 299/405

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 8/54, 32/12, 53/362, 299/405?

Answer: GCF of Numerators as per given numbers 8/54, 32/12, 53/362, 299/405 is

GCF of Numerators i.e. for 8,32,53,299 is 1

LCM of denominators i.e. for 54,12,362,405 is 293220.

Thus, GCF of Fractions is 1/293220.Finally, GCF of Fractions for 8/54, 32/12, 53/362, 299/405 is 1/293220.