Greatest Common Factor of 133/69, 850/24, 432/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 133/69, 850/24, 432/675

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 133/69,850/24,432/675

Given fractions are 133/69,850/24,432/675

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 133,850,432

Greatest Common Factor of Numerators i.e. GCF of 133,850,432 is 1 .

LCM of Denominators means LCM of 69,24,675 as per the given fractions.

LCM of 69,24,675 is 124200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 133,850,432

GCF of Fractions 133/69,850/24,432/675 is 1/124200

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

Greatest Common Factor of 133,850,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,850,432 By Matching Biggest Common Factor Method

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 133,850,432 . The biggest common factor number is the GCF number.
So the greatest common factor 133,850,432 is 1.

Lets's calculate LCM of 69,24,675

3 69, 24, 675
23, 8, 225

∴ So the LCM of the given numbers is 3 x 23 x 8 x 225 = 124200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124200

Therefore, the GCF of Fractions 133/69,850/24,432/675 is 1/124200

Least Common Multiple of 69,24,675 with GCF Formula

Least Common Multiple of 69,24,675 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 69,24,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,24,675) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(69,24,675) x common factors =3 x 3 = 9

LCM(69,24,675) = ( 69 × 24 × 675 ) / 9

LCM(69,24,675) = 1117800 / 9

LCM(69,24,675) = 124200


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 133/69, 850/24, 432/675

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 133/69, 850/24, 432/675?

Answer: GCF of Numerators as per given numbers 133/69, 850/24, 432/675 is

GCF of Numerators i.e. for 133,850,432 is 1

LCM of denominators i.e. for 69,24,675 is 124200.

Thus, GCF of Fractions is 1/124200.Finally, GCF of Fractions for 133/69, 850/24, 432/675 is 1/124200.