Greatest Common Factor of 8021/574, 2581/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8021/574, 2581/225

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 8021/574,2581/225

Given fractions are 8021/574,2581/225

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 8021,2581

Greatest Common Factor of Numerators i.e. GCF of 8021,2581 is 1 .

LCM of Denominators means LCM of 574,225 as per the given fractions.

LCM of 574,225 is 129150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8021,2581

GCF of Fractions 8021/574,2581/225 is 1/129150

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

Greatest Common Factor of 8021,2581 By Matching Biggest Common Factor Method

Greatest Common Factor of 8021,2581 By Matching Biggest Common Factor Method

Factors of 8021

List of positive integer factors of 8021 that divides 8021 without a remainder.

1,13,617,8021

Factors of 2581

List of positive integer factors of 2581 that divides 2581 without a remainder.

1,29,89,2581

Greatest Common Factor

We found the factors 8021,2581 . The biggest common factor number is the GCF number.
So the greatest common factor 8021,2581 is 1.

Lets's calculate LCM of 574,225

Given numbers has no common factors except 1. So, there LCM is their product i.e 129150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129150

Therefore, the GCF of Fractions 8021/574,2581/225 is 1/129150

Least Common Multiple of 574,225 with GCF Formula

Least Common Multiple of 574,225 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 574,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,225) = 1

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

GCF(574,225) x common factors =1 x 1 = 1

LCM(574,225) = ( 574 × 225 ) / 1

LCM(574,225) = 129150 / 1

LCM(574,225) = 129150


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 8021/574, 2581/225

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 8021/574, 2581/225?

Answer: GCF of Numerators as per given numbers 8021/574, 2581/225 is

GCF of Numerators i.e. for 8021,2581 is 1

LCM of denominators i.e. for 574,225 is 129150.

Thus, GCF of Fractions is 1/129150.Finally, GCF of Fractions for 8021/574, 2581/225 is 1/129150.