Greatest Common Factor of 252/175, 333/633, 315/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 252/175, 333/633, 315/172

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 252/175,333/633,315/172

Given fractions are 252/175,333/633,315/172

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 252,333,315

Greatest Common Factor of Numerators i.e. GCF of 252,333,315 is 9 .

LCM of Denominators means LCM of 175,633,172 as per the given fractions.

LCM of 175,633,172 is 19053300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 252,333,315

GCF of Fractions 252/175,333/633,315/172 is 9/19053300

3 252, 333, 315
3 84, 111, 105
28, 37, 35

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

Greatest Common Factor of 252,333,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,333,315 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 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 252,333,315 . The biggest common factor number is the GCF number.
So the greatest common factor 252,333,315 is 9.

Lets's calculate LCM of 175,633,172

Given numbers has no common factors except 1. So, there LCM is their product i.e 19053300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/19053300

Therefore, the GCF of Fractions 252/175,333/633,315/172 is 9/19053300

Least Common Multiple of 175,633,172 with GCF Formula

Least Common Multiple of 175,633,172 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 175,633,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,633,172) = 1

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

GCF(175,633,172) x common factors =1 x 1 = 1

LCM(175,633,172) = ( 175 × 633 × 172 ) / 1

LCM(175,633,172) = 19053300 / 1

LCM(175,633,172) = 19053300


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 252/175, 333/633, 315/172

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 252/175, 333/633, 315/172?

Answer: GCF of Numerators as per given numbers 252/175, 333/633, 315/172 is

GCF of Numerators i.e. for 252,333,315 is 9

LCM of denominators i.e. for 175,633,172 is 19053300.

Thus, GCF of Fractions is 9/19053300.Finally, GCF of Fractions for 252/175, 333/633, 315/172 is 9/19053300.