Greatest Common Factor of 47/13, 54/59, 25/64, 96/581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 47/13, 54/59, 25/64, 96/581

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 47/13,54/59,25/64,96/581

Given fractions are 47/13,54/59,25/64,96/581

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 47,54,25,96

Greatest Common Factor of Numerators i.e. GCF of 47,54,25,96 is 1 .

LCM of Denominators means LCM of 13,59,64,581 as per the given fractions.

LCM of 13,59,64,581 is 28520128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 47,54,25,96

GCF of Fractions 47/13,54/59,25/64,96/581 is 1/28520128

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

Greatest Common Factor of 47,54,25,96 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,54,25,96 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

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 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Greatest Common Factor

We found the factors 47,54,25,96 . The biggest common factor number is the GCF number.
So the greatest common factor 47,54,25,96 is 1.

Lets's calculate LCM of 13,59,64,581

Given numbers has no common factors except 1. So, there LCM is their product i.e 28520128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28520128

Therefore, the GCF of Fractions 47/13,54/59,25/64,96/581 is 1/28520128

Least Common Multiple of 13,59,64,581 with GCF Formula

Least Common Multiple of 13,59,64,581 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 13,59,64,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,59,64,581) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(13,59,64,581) x common factors =1 x 1 = 1

LCM(13,59,64,581) = ( 13 × 59 × 64 × 581 ) / 1

LCM(13,59,64,581) = 28520128 / 1

LCM(13,59,64,581) = 28520128


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 47/13, 54/59, 25/64, 96/581

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 47/13, 54/59, 25/64, 96/581?

Answer: GCF of Numerators as per given numbers 47/13, 54/59, 25/64, 96/581 is

GCF of Numerators i.e. for 47,54,25,96 is 1

LCM of denominators i.e. for 13,59,64,581 is 28520128.

Thus, GCF of Fractions is 1/28520128.Finally, GCF of Fractions for 47/13, 54/59, 25/64, 96/581 is 1/28520128.