Greatest Common Factor of 8038/52, 2893/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8038/52, 2893/142

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 8038/52,2893/142

Given fractions are 8038/52,2893/142

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 8038,2893

Greatest Common Factor of Numerators i.e. GCF of 8038,2893 is 1 .

LCM of Denominators means LCM of 52,142 as per the given fractions.

LCM of 52,142 is 3692 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8038,2893

GCF of Fractions 8038/52,2893/142 is 1/3692

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

Greatest Common Factor of 8038,2893 By Matching Biggest Common Factor Method

Greatest Common Factor of 8038,2893 By Matching Biggest Common Factor Method

Factors of 8038

List of positive integer factors of 8038 that divides 8038 without a remainder.

1,2,4019,8038

Factors of 2893

List of positive integer factors of 2893 that divides 2893 without a remainder.

1,11,263,2893

Greatest Common Factor

We found the factors 8038,2893 . The biggest common factor number is the GCF number.
So the greatest common factor 8038,2893 is 1.

Lets's calculate LCM of 52,142

2 52, 142
26, 71

∴ So the LCM of the given numbers is 2 x 26 x 71 = 3692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3692

Therefore, the GCF of Fractions 8038/52,2893/142 is 1/3692

Least Common Multiple of 52,142 with GCF Formula

Least Common Multiple of 52,142 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 52,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,142) = 2

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

GCF(52,142) x common factors =2 x 1 = 2

LCM(52,142) = ( 52 × 142 ) / 2

LCM(52,142) = 7384 / 2

LCM(52,142) = 3692


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 8038/52, 2893/142

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 8038/52, 2893/142?

Answer: GCF of Numerators as per given numbers 8038/52, 2893/142 is

GCF of Numerators i.e. for 8038,2893 is 1

LCM of denominators i.e. for 52,142 is 3692.

Thus, GCF of Fractions is 1/3692.Finally, GCF of Fractions for 8038/52, 2893/142 is 1/3692.