Greatest Common Factor of 4993/64, 5541/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4993/64, 5541/204

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 4993/64,5541/204

Given fractions are 4993/64,5541/204

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 4993,5541

Greatest Common Factor of Numerators i.e. GCF of 4993,5541 is 1 .

LCM of Denominators means LCM of 64,204 as per the given fractions.

LCM of 64,204 is 3264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4993,5541

GCF of Fractions 4993/64,5541/204 is 1/3264

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

Greatest Common Factor of 4993,5541 By Matching Biggest Common Factor Method

Greatest Common Factor of 4993,5541 By Matching Biggest Common Factor Method

Factors of 4993

List of positive integer factors of 4993 that divides 4993 without a remainder.

1,4993

Factors of 5541

List of positive integer factors of 5541 that divides 5541 without a remainder.

1,3,1847,5541

Greatest Common Factor

We found the factors 4993,5541 . The biggest common factor number is the GCF number.
So the greatest common factor 4993,5541 is 1.

Lets's calculate LCM of 64,204

2 64, 204
2 32, 102
16, 51

∴ So the LCM of the given numbers is 2 x 2 x 16 x 51 = 3264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3264

Therefore, the GCF of Fractions 4993/64,5541/204 is 1/3264

Least Common Multiple of 64,204 with GCF Formula

Least Common Multiple of 64,204 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 64,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,204) = 4

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

GCF(64,204) x common factors =4 x 1 = 4

LCM(64,204) = ( 64 × 204 ) / 4

LCM(64,204) = 13056 / 4

LCM(64,204) = 3264


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 4993/64, 5541/204

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 4993/64, 5541/204?

Answer: GCF of Numerators as per given numbers 4993/64, 5541/204 is

GCF of Numerators i.e. for 4993,5541 is 1

LCM of denominators i.e. for 64,204 is 3264.

Thus, GCF of Fractions is 1/3264.Finally, GCF of Fractions for 4993/64, 5541/204 is 1/3264.