Greatest Common Factor of 13/80, 54/52, 63/54, 81/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/80, 54/52, 63/54, 81/336

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 13/80,54/52,63/54,81/336

Given fractions are 13/80,54/52,63/54,81/336

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 13,54,63,81

Greatest Common Factor of Numerators i.e. GCF of 13,54,63,81 is 1 .

LCM of Denominators means LCM of 80,52,54,336 as per the given fractions.

LCM of 80,52,54,336 is 196560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,54,63,81

GCF of Fractions 13/80,54/52,63/54,81/336 is 1/196560

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

Greatest Common Factor of 13,54,63,81 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,54,63,81 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Greatest Common Factor

We found the factors 13,54,63,81 . The biggest common factor number is the GCF number.
So the greatest common factor 13,54,63,81 is 1.

Lets's calculate LCM of 80,52,54,336

2 80, 52, 54, 336
2 40, 26, 27, 168
2 20, 13, 27, 84
2 10, 13, 27, 42
3 5, 13, 27, 21
5, 13, 9, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 13 x 9 x 7 = 196560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/196560

Therefore, the GCF of Fractions 13/80,54/52,63/54,81/336 is 1/196560

Least Common Multiple of 80,52,54,336 with GCF Formula

Least Common Multiple of 80,52,54,336 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 80,52,54,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,52,54,336) = 2

common factors(in case of two or more numbers have common factors) = 192

GCF(80,52,54,336) x common factors =2 x 192 = 384

LCM(80,52,54,336) = ( 80 × 52 × 54 × 336 ) / 384

LCM(80,52,54,336) = 75479040 / 384

LCM(80,52,54,336) = 196560


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 13/80, 54/52, 63/54, 81/336

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 13/80, 54/52, 63/54, 81/336?

Answer: GCF of Numerators as per given numbers 13/80, 54/52, 63/54, 81/336 is

GCF of Numerators i.e. for 13,54,63,81 is 1

LCM of denominators i.e. for 80,52,54,336 is 196560.

Thus, GCF of Fractions is 1/196560.Finally, GCF of Fractions for 13/80, 54/52, 63/54, 81/336 is 1/196560.