Greatest Common Factor of 192/738, 372/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 192/738, 372/446

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 192/738,372/446

Given fractions are 192/738,372/446

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 192,372

Greatest Common Factor of Numerators i.e. GCF of 192,372 is 12 .

LCM of Denominators means LCM of 738,446 as per the given fractions.

LCM of 738,446 is 164574 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 192,372

GCF of Fractions 192/738,372/446 is 12/164574

2 192, 372
2 96, 186
3 48, 93
16, 31

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 192,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 192,372 By Matching Biggest Common Factor Method

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 192,372 . The biggest common factor number is the GCF number.
So the greatest common factor 192,372 is 12.

Lets's calculate LCM of 738,446

2 738, 446
369, 223

∴ So the LCM of the given numbers is 2 x 369 x 223 = 164574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/164574

Therefore, the GCF of Fractions 192/738,372/446 is 12/164574

Least Common Multiple of 738,446 with GCF Formula

Least Common Multiple of 738,446 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 738,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,446) = 2

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

GCF(738,446) x common factors =2 x 1 = 2

LCM(738,446) = ( 738 × 446 ) / 2

LCM(738,446) = 329148 / 2

LCM(738,446) = 164574


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 192/738, 372/446

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 192/738, 372/446?

Answer: GCF of Numerators as per given numbers 192/738, 372/446 is

GCF of Numerators i.e. for 192,372 is 12

LCM of denominators i.e. for 738,446 is 164574.

Thus, GCF of Fractions is 12/164574.Finally, GCF of Fractions for 192/738, 372/446 is 12/164574.