Greatest Common Factor of 852/53, 564/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 852/53, 564/284

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 852/53,564/284

Given fractions are 852/53,564/284

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 852,564

Greatest Common Factor of Numerators i.e. GCF of 852,564 is 12 .

LCM of Denominators means LCM of 53,284 as per the given fractions.

LCM of 53,284 is 15052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 852,564

GCF of Fractions 852/53,564/284 is 12/15052

2 852, 564
2 426, 282
3 213, 141
71, 47

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 852,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,564 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 852,564 . The biggest common factor number is the GCF number.
So the greatest common factor 852,564 is 12.

Lets's calculate LCM of 53,284

Given numbers has no common factors except 1. So, there LCM is their product i.e 15052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/15052

Therefore, the GCF of Fractions 852/53,564/284 is 12/15052

Least Common Multiple of 53,284 with GCF Formula

Least Common Multiple of 53,284 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 53,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,284) = 1

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

GCF(53,284) x common factors =1 x 1 = 1

LCM(53,284) = ( 53 × 284 ) / 1

LCM(53,284) = 15052 / 1

LCM(53,284) = 15052


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 852/53, 564/284

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 852/53, 564/284?

Answer: GCF of Numerators as per given numbers 852/53, 564/284 is

GCF of Numerators i.e. for 852,564 is 12

LCM of denominators i.e. for 53,284 is 15052.

Thus, GCF of Fractions is 12/15052.Finally, GCF of Fractions for 852/53, 564/284 is 12/15052.