Greatest Common Factor of 3593/204, 6969/7511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3593/204, 6969/7511

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 3593/204,6969/7511

Given fractions are 3593/204,6969/7511

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 3593,6969

Greatest Common Factor of Numerators i.e. GCF of 3593,6969 is 1 .

LCM of Denominators means LCM of 204,7511 as per the given fractions.

LCM of 204,7511 is 1532244 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3593,6969

GCF of Fractions 3593/204,6969/7511 is 1/1532244

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

Greatest Common Factor of 3593,6969 By Matching Biggest Common Factor Method

Greatest Common Factor of 3593,6969 By Matching Biggest Common Factor Method

Factors of 3593

List of positive integer factors of 3593 that divides 3593 without a remainder.

1,3593

Factors of 6969

List of positive integer factors of 6969 that divides 6969 without a remainder.

1,3,23,69,101,303,2323,6969

Greatest Common Factor

We found the factors 3593,6969 . The biggest common factor number is the GCF number.
So the greatest common factor 3593,6969 is 1.

Lets's calculate LCM of 204,7511

Given numbers has no common factors except 1. So, there LCM is their product i.e 1532244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1532244

Therefore, the GCF of Fractions 3593/204,6969/7511 is 1/1532244

Least Common Multiple of 204,7511 with GCF Formula

Least Common Multiple of 204,7511 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 204,7511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,7511) = 1

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

GCF(204,7511) x common factors =1 x 1 = 1

LCM(204,7511) = ( 204 × 7511 ) / 1

LCM(204,7511) = 1532244 / 1

LCM(204,7511) = 1532244


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 3593/204, 6969/7511

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 3593/204, 6969/7511?

Answer: GCF of Numerators as per given numbers 3593/204, 6969/7511 is

GCF of Numerators i.e. for 3593,6969 is 1

LCM of denominators i.e. for 204,7511 is 1532244.

Thus, GCF of Fractions is 1/1532244.Finally, GCF of Fractions for 3593/204, 6969/7511 is 1/1532244.