Greatest Common Factor of 8572/561, 8560/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8572/561, 8560/284

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 8572/561,8560/284

Given fractions are 8572/561,8560/284

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 8572,8560

Greatest Common Factor of Numerators i.e. GCF of 8572,8560 is 4 .

LCM of Denominators means LCM of 561,284 as per the given fractions.

LCM of 561,284 is 159324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8572,8560

GCF of Fractions 8572/561,8560/284 is 4/159324

2 8572, 8560
2 4286, 4280
2143, 2140

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8572,8560 By Matching Biggest Common Factor Method

Greatest Common Factor of 8572,8560 By Matching Biggest Common Factor Method

Factors of 8572

List of positive integer factors of 8572 that divides 8572 without a remainder.

1,2,4,2143,4286,8572

Factors of 8560

List of positive integer factors of 8560 that divides 8560 without a remainder.

1,2,4,5,8,10,16,20,40,80,107,214,428,535,856,1070,1712,2140,4280,8560

Greatest Common Factor

We found the factors 8572,8560 . The biggest common factor number is the GCF number.
So the greatest common factor 8572,8560 is 4.

Lets's calculate LCM of 561,284

Given numbers has no common factors except 1. So, there LCM is their product i.e 159324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/159324

Therefore, the GCF of Fractions 8572/561,8560/284 is 4/159324

Least Common Multiple of 561,284 with GCF Formula

Least Common Multiple of 561,284 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 561,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,284) = 1

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

GCF(561,284) x common factors =1 x 1 = 1

LCM(561,284) = ( 561 × 284 ) / 1

LCM(561,284) = 159324 / 1

LCM(561,284) = 159324


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 8572/561, 8560/284

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 8572/561, 8560/284?

Answer: GCF of Numerators as per given numbers 8572/561, 8560/284 is

GCF of Numerators i.e. for 8572,8560 is 4

LCM of denominators i.e. for 561,284 is 159324.

Thus, GCF of Fractions is 4/159324.Finally, GCF of Fractions for 8572/561, 8560/284 is 4/159324.