Greatest Common Factor of 3249/33, 1575/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3249/33, 1575/597

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 3249/33,1575/597

Given fractions are 3249/33,1575/597

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 3249,1575

Greatest Common Factor of Numerators i.e. GCF of 3249,1575 is 9 .

LCM of Denominators means LCM of 33,597 as per the given fractions.

LCM of 33,597 is 6567 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3249,1575

GCF of Fractions 3249/33,1575/597 is 9/6567

3 3249, 1575
3 1083, 525
361, 175

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 3249,1575 By Matching Biggest Common Factor Method

Greatest Common Factor of 3249,1575 By Matching Biggest Common Factor Method

Factors of 3249

List of positive integer factors of 3249 that divides 3249 without a remainder.

1,3,9,19,57,171,361,1083,3249

Factors of 1575

List of positive integer factors of 1575 that divides 1575 without a remainder.

1,3,5,7,9,15,21,25,35,45,63,75,105,175,225,315,525,1575

Greatest Common Factor

We found the factors 3249,1575 . The biggest common factor number is the GCF number.
So the greatest common factor 3249,1575 is 9.

Lets's calculate LCM of 33,597

3 33, 597
11, 199

∴ So the LCM of the given numbers is 3 x 11 x 199 = 6567

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/6567

Therefore, the GCF of Fractions 3249/33,1575/597 is 9/6567

Least Common Multiple of 33,597 with GCF Formula

Least Common Multiple of 33,597 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 33,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,597) = 3

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

GCF(33,597) x common factors =3 x 1 = 3

LCM(33,597) = ( 33 × 597 ) / 3

LCM(33,597) = 19701 / 3

LCM(33,597) = 6567


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 3249/33, 1575/597

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 3249/33, 1575/597?

Answer: GCF of Numerators as per given numbers 3249/33, 1575/597 is

GCF of Numerators i.e. for 3249,1575 is 9

LCM of denominators i.e. for 33,597 is 6567.

Thus, GCF of Fractions is 9/6567.Finally, GCF of Fractions for 3249/33, 1575/597 is 9/6567.