Greatest Common Factor of 252/33, 8624/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 252/33, 8624/204

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 252/33,8624/204

Given fractions are 252/33,8624/204

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 252,8624

Greatest Common Factor of Numerators i.e. GCF of 252,8624 is 28 .

LCM of Denominators means LCM of 33,204 as per the given fractions.

LCM of 33,204 is 2244 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 252,8624

GCF of Fractions 252/33,8624/204 is 28/2244

2 252, 8624
2 126, 4312
7 63, 2156
9, 308

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 252,8624 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,8624 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 8624

List of positive integer factors of 8624 that divides 8624 without a remainder.

1,2,4,7,8,11,14,16,22,28,44,49,56,77,88,98,112,154,176,196,308,392,539,616,784,1078,1232,2156,4312,8624

Greatest Common Factor

We found the factors 252,8624 . The biggest common factor number is the GCF number.
So the greatest common factor 252,8624 is 28.

Lets's calculate LCM of 33,204

3 33, 204
11, 68

∴ So the LCM of the given numbers is 3 x 11 x 68 = 2244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/2244

Therefore, the GCF of Fractions 252/33,8624/204 is 28/2244

Least Common Multiple of 33,204 with GCF Formula

Least Common Multiple of 33,204 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 33,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,204) = 3

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

GCF(33,204) x common factors =3 x 1 = 3

LCM(33,204) = ( 33 × 204 ) / 3

LCM(33,204) = 6732 / 3

LCM(33,204) = 2244


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 252/33, 8624/204

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 252/33, 8624/204?

Answer: GCF of Numerators as per given numbers 252/33, 8624/204 is

GCF of Numerators i.e. for 252,8624 is 28

LCM of denominators i.e. for 33,204 is 2244.

Thus, GCF of Fractions is 28/2244.Finally, GCF of Fractions for 252/33, 8624/204 is 28/2244.