Greatest Common Factor of 8093/16, 9004/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8093/16, 9004/140

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 8093/16,9004/140

Given fractions are 8093/16,9004/140

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 8093,9004

Greatest Common Factor of Numerators i.e. GCF of 8093,9004 is 1 .

LCM of Denominators means LCM of 16,140 as per the given fractions.

LCM of 16,140 is 560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8093,9004

GCF of Fractions 8093/16,9004/140 is 1/560

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

Greatest Common Factor of 8093,9004 By Matching Biggest Common Factor Method

Greatest Common Factor of 8093,9004 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 9004

List of positive integer factors of 9004 that divides 9004 without a remainder.

1,2,4,2251,4502,9004

Greatest Common Factor

We found the factors 8093,9004 . The biggest common factor number is the GCF number.
So the greatest common factor 8093,9004 is 1.

Lets's calculate LCM of 16,140

2 16, 140
2 8, 70
4, 35

∴ So the LCM of the given numbers is 2 x 2 x 4 x 35 = 560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/560

Therefore, the GCF of Fractions 8093/16,9004/140 is 1/560

Least Common Multiple of 16,140 with GCF Formula

Least Common Multiple of 16,140 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 16,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,140) = 4

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

GCF(16,140) x common factors =4 x 1 = 4

LCM(16,140) = ( 16 × 140 ) / 4

LCM(16,140) = 2240 / 4

LCM(16,140) = 560


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 8093/16, 9004/140

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 8093/16, 9004/140?

Answer: GCF of Numerators as per given numbers 8093/16, 9004/140 is

GCF of Numerators i.e. for 8093,9004 is 1

LCM of denominators i.e. for 16,140 is 560.

Thus, GCF of Fractions is 1/560.Finally, GCF of Fractions for 8093/16, 9004/140 is 1/560.