Greatest Common Factor of 4081/442, 7171/1462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4081/442, 7171/1462

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 4081/442,7171/1462

Given fractions are 4081/442,7171/1462

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 4081,7171

Greatest Common Factor of Numerators i.e. GCF of 4081,7171 is 1 .

LCM of Denominators means LCM of 442,1462 as per the given fractions.

LCM of 442,1462 is 19006 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4081,7171

GCF of Fractions 4081/442,7171/1462 is 1/19006

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

Greatest Common Factor of 4081,7171 By Matching Biggest Common Factor Method

Greatest Common Factor of 4081,7171 By Matching Biggest Common Factor Method

Factors of 4081

List of positive integer factors of 4081 that divides 4081 without a remainder.

1,7,11,53,77,371,583,4081

Factors of 7171

List of positive integer factors of 7171 that divides 7171 without a remainder.

1,71,101,7171

Greatest Common Factor

We found the factors 4081,7171 . The biggest common factor number is the GCF number.
So the greatest common factor 4081,7171 is 1.

Lets's calculate LCM of 442,1462

2 442, 1462
17 221, 731
13, 43

∴ So the LCM of the given numbers is 2 x 17 x 13 x 43 = 19006

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19006

Therefore, the GCF of Fractions 4081/442,7171/1462 is 1/19006

Least Common Multiple of 442,1462 with GCF Formula

Least Common Multiple of 442,1462 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 442,1462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,1462) = 34

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

GCF(442,1462) x common factors =34 x 1 = 34

LCM(442,1462) = ( 442 × 1462 ) / 34

LCM(442,1462) = 646204 / 34

LCM(442,1462) = 19006


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 4081/442, 7171/1462

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 4081/442, 7171/1462?

Answer: GCF of Numerators as per given numbers 4081/442, 7171/1462 is

GCF of Numerators i.e. for 4081,7171 is 1

LCM of denominators i.e. for 442,1462 is 19006.

Thus, GCF of Fractions is 1/19006.Finally, GCF of Fractions for 4081/442, 7171/1462 is 1/19006.