Greatest Common Factor of 8497/423, 7693/361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8497/423, 7693/361

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 8497/423,7693/361

Given fractions are 8497/423,7693/361

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 8497,7693

Greatest Common Factor of Numerators i.e. GCF of 8497,7693 is 1 .

LCM of Denominators means LCM of 423,361 as per the given fractions.

LCM of 423,361 is 152703 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8497,7693

GCF of Fractions 8497/423,7693/361 is 1/152703

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

Greatest Common Factor of 8497,7693 By Matching Biggest Common Factor Method

Greatest Common Factor of 8497,7693 By Matching Biggest Common Factor Method

Factors of 8497

List of positive integer factors of 8497 that divides 8497 without a remainder.

1,29,293,8497

Factors of 7693

List of positive integer factors of 7693 that divides 7693 without a remainder.

1,7,49,157,1099,7693

Greatest Common Factor

We found the factors 8497,7693 . The biggest common factor number is the GCF number.
So the greatest common factor 8497,7693 is 1.

Lets's calculate LCM of 423,361

Given numbers has no common factors except 1. So, there LCM is their product i.e 152703

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152703

Therefore, the GCF of Fractions 8497/423,7693/361 is 1/152703

Least Common Multiple of 423,361 with GCF Formula

Least Common Multiple of 423,361 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 423,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,361) = 1

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

GCF(423,361) x common factors =1 x 1 = 1

LCM(423,361) = ( 423 × 361 ) / 1

LCM(423,361) = 152703 / 1

LCM(423,361) = 152703


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 8497/423, 7693/361

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 8497/423, 7693/361?

Answer: GCF of Numerators as per given numbers 8497/423, 7693/361 is

GCF of Numerators i.e. for 8497,7693 is 1

LCM of denominators i.e. for 423,361 is 152703.

Thus, GCF of Fractions is 1/152703.Finally, GCF of Fractions for 8497/423, 7693/361 is 1/152703.