Greatest Common Factor of 532/76, 378/69, 150/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 532/76, 378/69, 150/284

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 532/76,378/69,150/284

Given fractions are 532/76,378/69,150/284

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 532,378,150

Greatest Common Factor of Numerators i.e. GCF of 532,378,150 is 2 .

LCM of Denominators means LCM of 76,69,284 as per the given fractions.

LCM of 76,69,284 is 372324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 532,378,150

GCF of Fractions 532/76,378/69,150/284 is 2/372324

2 532, 378, 150
266, 189, 75

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 532,378,150 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,378,150 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Greatest Common Factor

We found the factors 532,378,150 . The biggest common factor number is the GCF number.
So the greatest common factor 532,378,150 is 2.

Lets's calculate LCM of 76,69,284

2 76, 69, 284
2 38, 69, 142
19, 69, 71

∴ So the LCM of the given numbers is 2 x 2 x 19 x 69 x 71 = 372324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/372324

Therefore, the GCF of Fractions 532/76,378/69,150/284 is 2/372324

Least Common Multiple of 76,69,284 with GCF Formula

Least Common Multiple of 76,69,284 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 76,69,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,69,284) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(76,69,284) x common factors =1 x 4 = 4

LCM(76,69,284) = ( 76 × 69 × 284 ) / 4

LCM(76,69,284) = 1489296 / 4

LCM(76,69,284) = 372324


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 532/76, 378/69, 150/284

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 532/76, 378/69, 150/284?

Answer: GCF of Numerators as per given numbers 532/76, 378/69, 150/284 is

GCF of Numerators i.e. for 532,378,150 is 2

LCM of denominators i.e. for 76,69,284 is 372324.

Thus, GCF of Fractions is 2/372324.Finally, GCF of Fractions for 532/76, 378/69, 150/284 is 2/372324.