Greatest Common Factor of 819/24, 4022/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 819/24, 4022/171

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 819/24,4022/171

Given fractions are 819/24,4022/171

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 819,4022

Greatest Common Factor of Numerators i.e. GCF of 819,4022 is 1 .

LCM of Denominators means LCM of 24,171 as per the given fractions.

LCM of 24,171 is 1368 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 819,4022

GCF of Fractions 819/24,4022/171 is 1/1368

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

Greatest Common Factor of 819,4022 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,4022 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 4022

List of positive integer factors of 4022 that divides 4022 without a remainder.

1,2,2011,4022

Greatest Common Factor

We found the factors 819,4022 . The biggest common factor number is the GCF number.
So the greatest common factor 819,4022 is 1.

Lets's calculate LCM of 24,171

3 24, 171
8, 57

∴ So the LCM of the given numbers is 3 x 8 x 57 = 1368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1368

Therefore, the GCF of Fractions 819/24,4022/171 is 1/1368

Least Common Multiple of 24,171 with GCF Formula

Least Common Multiple of 24,171 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 24,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,171) = 3

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

GCF(24,171) x common factors =3 x 1 = 3

LCM(24,171) = ( 24 × 171 ) / 3

LCM(24,171) = 4104 / 3

LCM(24,171) = 1368


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 819/24, 4022/171

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 819/24, 4022/171?

Answer: GCF of Numerators as per given numbers 819/24, 4022/171 is

GCF of Numerators i.e. for 819,4022 is 1

LCM of denominators i.e. for 24,171 is 1368.

Thus, GCF of Fractions is 1/1368.Finally, GCF of Fractions for 819/24, 4022/171 is 1/1368.