Greatest Common Factor of 5421/571, 5254/3084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5421/571, 5254/3084

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 5421/571,5254/3084

Given fractions are 5421/571,5254/3084

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 5421,5254

Greatest Common Factor of Numerators i.e. GCF of 5421,5254 is 1 .

LCM of Denominators means LCM of 571,3084 as per the given fractions.

LCM of 571,3084 is 1760964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5421,5254

GCF of Fractions 5421/571,5254/3084 is 1/1760964

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

Greatest Common Factor of 5421,5254 By Matching Biggest Common Factor Method

Greatest Common Factor of 5421,5254 By Matching Biggest Common Factor Method

Factors of 5421

List of positive integer factors of 5421 that divides 5421 without a remainder.

1,3,13,39,139,417,1807,5421

Factors of 5254

List of positive integer factors of 5254 that divides 5254 without a remainder.

1,2,37,71,74,142,2627,5254

Greatest Common Factor

We found the factors 5421,5254 . The biggest common factor number is the GCF number.
So the greatest common factor 5421,5254 is 1.

Lets's calculate LCM of 571,3084

Given numbers has no common factors except 1. So, there LCM is their product i.e 1760964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1760964

Therefore, the GCF of Fractions 5421/571,5254/3084 is 1/1760964

Least Common Multiple of 571,3084 with GCF Formula

Least Common Multiple of 571,3084 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 571,3084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(571,3084) = 1

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

GCF(571,3084) x common factors =1 x 1 = 1

LCM(571,3084) = ( 571 × 3084 ) / 1

LCM(571,3084) = 1760964 / 1

LCM(571,3084) = 1760964


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 5421/571, 5254/3084

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 5421/571, 5254/3084?

Answer: GCF of Numerators as per given numbers 5421/571, 5254/3084 is

GCF of Numerators i.e. for 5421,5254 is 1

LCM of denominators i.e. for 571,3084 is 1760964.

Thus, GCF of Fractions is 1/1760964.Finally, GCF of Fractions for 5421/571, 5254/3084 is 1/1760964.