Greatest Common Factor of 3605/691, 9309/8300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3605/691, 9309/8300

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 3605/691,9309/8300

Given fractions are 3605/691,9309/8300

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 3605,9309

Greatest Common Factor of Numerators i.e. GCF of 3605,9309 is 1 .

LCM of Denominators means LCM of 691,8300 as per the given fractions.

LCM of 691,8300 is 5735300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3605,9309

GCF of Fractions 3605/691,9309/8300 is 1/5735300

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

Greatest Common Factor of 3605,9309 By Matching Biggest Common Factor Method

Greatest Common Factor of 3605,9309 By Matching Biggest Common Factor Method

Factors of 3605

List of positive integer factors of 3605 that divides 3605 without a remainder.

1,5,7,35,103,515,721,3605

Factors of 9309

List of positive integer factors of 9309 that divides 9309 without a remainder.

1,3,29,87,107,321,3103,9309

Greatest Common Factor

We found the factors 3605,9309 . The biggest common factor number is the GCF number.
So the greatest common factor 3605,9309 is 1.

Lets's calculate LCM of 691,8300

Given numbers has no common factors except 1. So, there LCM is their product i.e 5735300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5735300

Therefore, the GCF of Fractions 3605/691,9309/8300 is 1/5735300

Least Common Multiple of 691,8300 with GCF Formula

Least Common Multiple of 691,8300 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 691,8300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(691,8300) = 1

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

GCF(691,8300) x common factors =1 x 1 = 1

LCM(691,8300) = ( 691 × 8300 ) / 1

LCM(691,8300) = 5735300 / 1

LCM(691,8300) = 5735300


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 3605/691, 9309/8300

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 3605/691, 9309/8300?

Answer: GCF of Numerators as per given numbers 3605/691, 9309/8300 is

GCF of Numerators i.e. for 3605,9309 is 1

LCM of denominators i.e. for 691,8300 is 5735300.

Thus, GCF of Fractions is 1/5735300.Finally, GCF of Fractions for 3605/691, 9309/8300 is 1/5735300.