Greatest Common Factor of 4531/571, 8142/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4531/571, 8142/564

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 4531/571,8142/564

Given fractions are 4531/571,8142/564

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 4531,8142

Greatest Common Factor of Numerators i.e. GCF of 4531,8142 is 23 .

LCM of Denominators means LCM of 571,564 as per the given fractions.

LCM of 571,564 is 322044 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4531,8142

GCF of Fractions 4531/571,8142/564 is 23/322044

23 4531, 8142
197, 354

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 4531,8142 By Matching Biggest Common Factor Method

Greatest Common Factor of 4531,8142 By Matching Biggest Common Factor Method

Factors of 4531

List of positive integer factors of 4531 that divides 4531 without a remainder.

1,23,197,4531

Factors of 8142

List of positive integer factors of 8142 that divides 8142 without a remainder.

1,2,3,6,23,46,59,69,118,138,177,354,1357,2714,4071,8142

Greatest Common Factor

We found the factors 4531,8142 . The biggest common factor number is the GCF number.
So the greatest common factor 4531,8142 is 23.

Lets's calculate LCM of 571,564

Given numbers has no common factors except 1. So, there LCM is their product i.e 322044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/322044

Therefore, the GCF of Fractions 4531/571,8142/564 is 23/322044

Least Common Multiple of 571,564 with GCF Formula

Least Common Multiple of 571,564 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 571,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(571,564) = 1

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

GCF(571,564) x common factors =1 x 1 = 1

LCM(571,564) = ( 571 × 564 ) / 1

LCM(571,564) = 322044 / 1

LCM(571,564) = 322044


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 4531/571, 8142/564

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 4531/571, 8142/564?

Answer: GCF of Numerators as per given numbers 4531/571, 8142/564 is

GCF of Numerators i.e. for 4531,8142 is 23

LCM of denominators i.e. for 571,564 is 322044.

Thus, GCF of Fractions is 23/322044.Finally, GCF of Fractions for 4531/571, 8142/564 is 23/322044.