Greatest Common Factor of 8609/697, 8697/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8609/697, 8697/738

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 8609/697,8697/738

Given fractions are 8609/697,8697/738

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 8609,8697

Greatest Common Factor of Numerators i.e. GCF of 8609,8697 is 1 .

LCM of Denominators means LCM of 697,738 as per the given fractions.

LCM of 697,738 is 12546 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8609,8697

GCF of Fractions 8609/697,8697/738 is 1/12546

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

Greatest Common Factor of 8609,8697 By Matching Biggest Common Factor Method

Greatest Common Factor of 8609,8697 By Matching Biggest Common Factor Method

Factors of 8609

List of positive integer factors of 8609 that divides 8609 without a remainder.

1,8609

Factors of 8697

List of positive integer factors of 8697 that divides 8697 without a remainder.

1,3,13,39,223,669,2899,8697

Greatest Common Factor

We found the factors 8609,8697 . The biggest common factor number is the GCF number.
So the greatest common factor 8609,8697 is 1.

Lets's calculate LCM of 697,738

41 697, 738
17, 18

∴ So the LCM of the given numbers is 41 x 17 x 18 = 12546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12546

Therefore, the GCF of Fractions 8609/697,8697/738 is 1/12546

Least Common Multiple of 697,738 with GCF Formula

Least Common Multiple of 697,738 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 697,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,738) = 41

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

GCF(697,738) x common factors =41 x 1 = 41

LCM(697,738) = ( 697 × 738 ) / 41

LCM(697,738) = 514386 / 41

LCM(697,738) = 12546


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 8609/697, 8697/738

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 8609/697, 8697/738?

Answer: GCF of Numerators as per given numbers 8609/697, 8697/738 is

GCF of Numerators i.e. for 8609,8697 is 1

LCM of denominators i.e. for 697,738 is 12546.

Thus, GCF of Fractions is 1/12546.Finally, GCF of Fractions for 8609/697, 8697/738 is 1/12546.