Greatest Common Factor of 3786/366, 3664/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3786/366, 3664/192

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 3786/366,3664/192

Given fractions are 3786/366,3664/192

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 3786,3664

Greatest Common Factor of Numerators i.e. GCF of 3786,3664 is 2 .

LCM of Denominators means LCM of 366,192 as per the given fractions.

LCM of 366,192 is 11712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3786,3664

GCF of Fractions 3786/366,3664/192 is 2/11712

2 3786, 3664
1893, 1832

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

Greatest Common Factor of 3786,3664 By Matching Biggest Common Factor Method

Greatest Common Factor of 3786,3664 By Matching Biggest Common Factor Method

Factors of 3786

List of positive integer factors of 3786 that divides 3786 without a remainder.

1,2,3,6,631,1262,1893,3786

Factors of 3664

List of positive integer factors of 3664 that divides 3664 without a remainder.

1,2,4,8,16,229,458,916,1832,3664

Greatest Common Factor

We found the factors 3786,3664 . The biggest common factor number is the GCF number.
So the greatest common factor 3786,3664 is 2.

Lets's calculate LCM of 366,192

2 366, 192
3 183, 96
61, 32

∴ So the LCM of the given numbers is 2 x 3 x 61 x 32 = 11712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11712

Therefore, the GCF of Fractions 3786/366,3664/192 is 2/11712

Least Common Multiple of 366,192 with GCF Formula

Least Common Multiple of 366,192 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 366,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(366,192) = 6

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

GCF(366,192) x common factors =6 x 1 = 6

LCM(366,192) = ( 366 × 192 ) / 6

LCM(366,192) = 70272 / 6

LCM(366,192) = 11712


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 3786/366, 3664/192

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 3786/366, 3664/192?

Answer: GCF of Numerators as per given numbers 3786/366, 3664/192 is

GCF of Numerators i.e. for 3786,3664 is 2

LCM of denominators i.e. for 366,192 is 11712.

Thus, GCF of Fractions is 2/11712.Finally, GCF of Fractions for 3786/366, 3664/192 is 2/11712.