Greatest Common Factor of 378/372, 8148/801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 378/372, 8148/801

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 378/372,8148/801

Given fractions are 378/372,8148/801

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 378,8148

Greatest Common Factor of Numerators i.e. GCF of 378,8148 is 42 .

LCM of Denominators means LCM of 372,801 as per the given fractions.

LCM of 372,801 is 99324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 378,8148

GCF of Fractions 378/372,8148/801 is 42/99324

2 378, 8148
3 189, 4074
7 63, 1358
9, 194

∴ So the GCF of the given numbers is 2 x 3 x 7 = 42

Greatest Common Factor of 378,8148 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,8148 By Matching Biggest Common Factor Method

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 8148

List of positive integer factors of 8148 that divides 8148 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,97,194,291,388,582,679,1164,1358,2037,2716,4074,8148

Greatest Common Factor

We found the factors 378,8148 . The biggest common factor number is the GCF number.
So the greatest common factor 378,8148 is 42.

Lets's calculate LCM of 372,801

3 372, 801
124, 267

∴ So the LCM of the given numbers is 3 x 124 x 267 = 99324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/99324

Therefore, the GCF of Fractions 378/372,8148/801 is 42/99324

Least Common Multiple of 372,801 with GCF Formula

Least Common Multiple of 372,801 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 372,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(372,801) = 3

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

GCF(372,801) x common factors =3 x 1 = 3

LCM(372,801) = ( 372 × 801 ) / 3

LCM(372,801) = 297972 / 3

LCM(372,801) = 99324


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 378/372, 8148/801

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 378/372, 8148/801?

Answer: GCF of Numerators as per given numbers 378/372, 8148/801 is

GCF of Numerators i.e. for 378,8148 is 42

LCM of denominators i.e. for 372,801 is 99324.

Thus, GCF of Fractions is 42/99324.Finally, GCF of Fractions for 378/372, 8148/801 is 42/99324.