Greatest Common Factor of 8093/532, 6042/8296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8093/532, 6042/8296

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 8093/532,6042/8296

Given fractions are 8093/532,6042/8296

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 8093,6042

Greatest Common Factor of Numerators i.e. GCF of 8093,6042 is 1 .

LCM of Denominators means LCM of 532,8296 as per the given fractions.

LCM of 532,8296 is 1103368 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8093,6042

GCF of Fractions 8093/532,6042/8296 is 1/1103368

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

Greatest Common Factor of 8093,6042 By Matching Biggest Common Factor Method

Greatest Common Factor of 8093,6042 By Matching Biggest Common Factor Method

Factors of 8093

List of positive integer factors of 8093 that divides 8093 without a remainder.

1,8093

Factors of 6042

List of positive integer factors of 6042 that divides 6042 without a remainder.

1,2,3,6,19,38,53,57,106,114,159,318,1007,2014,3021,6042

Greatest Common Factor

We found the factors 8093,6042 . The biggest common factor number is the GCF number.
So the greatest common factor 8093,6042 is 1.

Lets's calculate LCM of 532,8296

2 532, 8296
2 266, 4148
133, 2074

∴ So the LCM of the given numbers is 2 x 2 x 133 x 2074 = 1103368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1103368

Therefore, the GCF of Fractions 8093/532,6042/8296 is 1/1103368

Least Common Multiple of 532,8296 with GCF Formula

Least Common Multiple of 532,8296 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 532,8296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,8296) = 4

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

GCF(532,8296) x common factors =4 x 1 = 4

LCM(532,8296) = ( 532 × 8296 ) / 4

LCM(532,8296) = 4413472 / 4

LCM(532,8296) = 1103368


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 8093/532, 6042/8296

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 8093/532, 6042/8296?

Answer: GCF of Numerators as per given numbers 8093/532, 6042/8296 is

GCF of Numerators i.e. for 8093,6042 is 1

LCM of denominators i.e. for 532,8296 is 1103368.

Thus, GCF of Fractions is 1/1103368.Finally, GCF of Fractions for 8093/532, 6042/8296 is 1/1103368.