Greatest Common Factor of 8097/703, 8374/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8097/703, 8374/494

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 8097/703,8374/494

Given fractions are 8097/703,8374/494

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 8097,8374

Greatest Common Factor of Numerators i.e. GCF of 8097,8374 is 1 .

LCM of Denominators means LCM of 703,494 as per the given fractions.

LCM of 703,494 is 18278 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8097,8374

GCF of Fractions 8097/703,8374/494 is 1/18278

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

Greatest Common Factor of 8097,8374 By Matching Biggest Common Factor Method

Greatest Common Factor of 8097,8374 By Matching Biggest Common Factor Method

Factors of 8097

List of positive integer factors of 8097 that divides 8097 without a remainder.

1,3,2699,8097

Factors of 8374

List of positive integer factors of 8374 that divides 8374 without a remainder.

1,2,53,79,106,158,4187,8374

Greatest Common Factor

We found the factors 8097,8374 . The biggest common factor number is the GCF number.
So the greatest common factor 8097,8374 is 1.

Lets's calculate LCM of 703,494

19 703, 494
37, 26

∴ So the LCM of the given numbers is 19 x 37 x 26 = 18278

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18278

Therefore, the GCF of Fractions 8097/703,8374/494 is 1/18278

Least Common Multiple of 703,494 with GCF Formula

Least Common Multiple of 703,494 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 703,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(703,494) = 19

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

GCF(703,494) x common factors =19 x 1 = 19

LCM(703,494) = ( 703 × 494 ) / 19

LCM(703,494) = 347282 / 19

LCM(703,494) = 18278


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 8097/703, 8374/494

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 8097/703, 8374/494?

Answer: GCF of Numerators as per given numbers 8097/703, 8374/494 is

GCF of Numerators i.e. for 8097,8374 is 1

LCM of denominators i.e. for 703,494 is 18278.

Thus, GCF of Fractions is 1/18278.Finally, GCF of Fractions for 8097/703, 8374/494 is 1/18278.