Greatest Common Factor of 2281/268, 8142/7492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2281/268, 8142/7492

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 2281/268,8142/7492

Given fractions are 2281/268,8142/7492

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 2281,8142

Greatest Common Factor of Numerators i.e. GCF of 2281,8142 is 1 .

LCM of Denominators means LCM of 268,7492 as per the given fractions.

LCM of 268,7492 is 501964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2281,8142

GCF of Fractions 2281/268,8142/7492 is 1/501964

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

Greatest Common Factor of 2281,8142 By Matching Biggest Common Factor Method

Greatest Common Factor of 2281,8142 By Matching Biggest Common Factor Method

Factors of 2281

List of positive integer factors of 2281 that divides 2281 without a remainder.

1,2281

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 2281,8142 . The biggest common factor number is the GCF number.
So the greatest common factor 2281,8142 is 1.

Lets's calculate LCM of 268,7492

2 268, 7492
2 134, 3746
67, 1873

∴ So the LCM of the given numbers is 2 x 2 x 67 x 1873 = 501964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/501964

Therefore, the GCF of Fractions 2281/268,8142/7492 is 1/501964

Least Common Multiple of 268,7492 with GCF Formula

Least Common Multiple of 268,7492 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 268,7492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,7492) = 4

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

GCF(268,7492) x common factors =4 x 1 = 4

LCM(268,7492) = ( 268 × 7492 ) / 4

LCM(268,7492) = 2007856 / 4

LCM(268,7492) = 501964


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 2281/268, 8142/7492

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 2281/268, 8142/7492?

Answer: GCF of Numerators as per given numbers 2281/268, 8142/7492 is

GCF of Numerators i.e. for 2281,8142 is 1

LCM of denominators i.e. for 268,7492 is 501964.

Thus, GCF of Fractions is 1/501964.Finally, GCF of Fractions for 2281/268, 8142/7492 is 1/501964.