Greatest Common Factor of 4731/64, 5475/482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4731/64, 5475/482

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 4731/64,5475/482

Given fractions are 4731/64,5475/482

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 4731,5475

Greatest Common Factor of Numerators i.e. GCF of 4731,5475 is 3 .

LCM of Denominators means LCM of 64,482 as per the given fractions.

LCM of 64,482 is 15424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4731,5475

GCF of Fractions 4731/64,5475/482 is 3/15424

3 4731, 5475
1577, 1825

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4731,5475 By Matching Biggest Common Factor Method

Greatest Common Factor of 4731,5475 By Matching Biggest Common Factor Method

Factors of 4731

List of positive integer factors of 4731 that divides 4731 without a remainder.

1,3,19,57,83,249,1577,4731

Factors of 5475

List of positive integer factors of 5475 that divides 5475 without a remainder.

1,3,5,15,25,73,75,219,365,1095,1825,5475

Greatest Common Factor

We found the factors 4731,5475 . The biggest common factor number is the GCF number.
So the greatest common factor 4731,5475 is 3.

Lets's calculate LCM of 64,482

2 64, 482
32, 241

∴ So the LCM of the given numbers is 2 x 32 x 241 = 15424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/15424

Therefore, the GCF of Fractions 4731/64,5475/482 is 3/15424

Least Common Multiple of 64,482 with GCF Formula

Least Common Multiple of 64,482 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 64,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,482) = 2

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

GCF(64,482) x common factors =2 x 1 = 2

LCM(64,482) = ( 64 × 482 ) / 2

LCM(64,482) = 30848 / 2

LCM(64,482) = 15424


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 4731/64, 5475/482

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 4731/64, 5475/482?

Answer: GCF of Numerators as per given numbers 4731/64, 5475/482 is

GCF of Numerators i.e. for 4731,5475 is 3

LCM of denominators i.e. for 64,482 is 15424.

Thus, GCF of Fractions is 3/15424.Finally, GCF of Fractions for 4731/64, 5475/482 is 3/15424.