Greatest Common Factor of 8022/124, 5863/5092

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8022/124, 5863/5092

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 8022/124,5863/5092

Given fractions are 8022/124,5863/5092

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 8022,5863

Greatest Common Factor of Numerators i.e. GCF of 8022,5863 is 1 .

LCM of Denominators means LCM of 124,5092 as per the given fractions.

LCM of 124,5092 is 157852 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8022,5863

GCF of Fractions 8022/124,5863/5092 is 1/157852

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

Greatest Common Factor of 8022,5863 By Matching Biggest Common Factor Method

Greatest Common Factor of 8022,5863 By Matching Biggest Common Factor Method

Factors of 8022

List of positive integer factors of 8022 that divides 8022 without a remainder.

1,2,3,6,7,14,21,42,191,382,573,1146,1337,2674,4011,8022

Factors of 5863

List of positive integer factors of 5863 that divides 5863 without a remainder.

1,11,13,41,143,451,533,5863

Greatest Common Factor

We found the factors 8022,5863 . The biggest common factor number is the GCF number.
So the greatest common factor 8022,5863 is 1.

Lets's calculate LCM of 124,5092

2 124, 5092
2 62, 2546
31, 1273

∴ So the LCM of the given numbers is 2 x 2 x 31 x 1273 = 157852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157852

Therefore, the GCF of Fractions 8022/124,5863/5092 is 1/157852

Least Common Multiple of 124,5092 with GCF Formula

Least Common Multiple of 124,5092 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 124,5092 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(124,5092) = 4

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

GCF(124,5092) x common factors =4 x 1 = 4

LCM(124,5092) = ( 124 × 5092 ) / 4

LCM(124,5092) = 631408 / 4

LCM(124,5092) = 157852


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 8022/124, 5863/5092

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 8022/124, 5863/5092?

Answer: GCF of Numerators as per given numbers 8022/124, 5863/5092 is

GCF of Numerators i.e. for 8022,5863 is 1

LCM of denominators i.e. for 124,5092 is 157852.

Thus, GCF of Fractions is 1/157852.Finally, GCF of Fractions for 8022/124, 5863/5092 is 1/157852.