Greatest Common Factor of 375/912, 144/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 375/912, 144/744

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 375/912,144/744

Given fractions are 375/912,144/744

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 375,144

Greatest Common Factor of Numerators i.e. GCF of 375,144 is 3 .

LCM of Denominators means LCM of 912,744 as per the given fractions.

LCM of 912,744 is 28272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 375,144

GCF of Fractions 375/912,144/744 is 3/28272

3 375, 144
125, 48

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

Greatest Common Factor of 375,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,144 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 375,144 . The biggest common factor number is the GCF number.
So the greatest common factor 375,144 is 3.

Lets's calculate LCM of 912,744

2 912, 744
2 456, 372
2 228, 186
3 114, 93
38, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 38 x 31 = 28272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/28272

Therefore, the GCF of Fractions 375/912,144/744 is 3/28272

Least Common Multiple of 912,744 with GCF Formula

Least Common Multiple of 912,744 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 912,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,744) = 24

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

GCF(912,744) x common factors =24 x 1 = 24

LCM(912,744) = ( 912 × 744 ) / 24

LCM(912,744) = 678528 / 24

LCM(912,744) = 28272


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 375/912, 144/744

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 375/912, 144/744?

Answer: GCF of Numerators as per given numbers 375/912, 144/744 is

GCF of Numerators i.e. for 375,144 is 3

LCM of denominators i.e. for 912,744 is 28272.

Thus, GCF of Fractions is 3/28272.Finally, GCF of Fractions for 375/912, 144/744 is 3/28272.