Greatest Common Factor of 5254/564, 8984/2573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5254/564, 8984/2573

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 5254/564,8984/2573

Given fractions are 5254/564,8984/2573

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 5254,8984

Greatest Common Factor of Numerators i.e. GCF of 5254,8984 is 2 .

LCM of Denominators means LCM of 564,2573 as per the given fractions.

LCM of 564,2573 is 1451172 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5254,8984

GCF of Fractions 5254/564,8984/2573 is 2/1451172

2 5254, 8984
2627, 4492

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5254,8984 By Matching Biggest Common Factor Method

Greatest Common Factor of 5254,8984 By Matching Biggest Common Factor Method

Factors of 5254

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

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

Factors of 8984

List of positive integer factors of 8984 that divides 8984 without a remainder.

1,2,4,8,1123,2246,4492,8984

Greatest Common Factor

We found the factors 5254,8984 . The biggest common factor number is the GCF number.
So the greatest common factor 5254,8984 is 2.

Lets's calculate LCM of 564,2573

Given numbers has no common factors except 1. So, there LCM is their product i.e 1451172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1451172

Therefore, the GCF of Fractions 5254/564,8984/2573 is 2/1451172

Least Common Multiple of 564,2573 with GCF Formula

Least Common Multiple of 564,2573 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 564,2573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,2573) = 1

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

GCF(564,2573) x common factors =1 x 1 = 1

LCM(564,2573) = ( 564 × 2573 ) / 1

LCM(564,2573) = 1451172 / 1

LCM(564,2573) = 1451172


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 5254/564, 8984/2573

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 5254/564, 8984/2573?

Answer: GCF of Numerators as per given numbers 5254/564, 8984/2573 is

GCF of Numerators i.e. for 5254,8984 is 2

LCM of denominators i.e. for 564,2573 is 1451172.

Thus, GCF of Fractions is 2/1451172.Finally, GCF of Fractions for 5254/564, 8984/2573 is 2/1451172.