Greatest Common Factor of 368/41, 846/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 368/41, 846/792

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 368/41,846/792

Given fractions are 368/41,846/792

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 368,846

Greatest Common Factor of Numerators i.e. GCF of 368,846 is 2 .

LCM of Denominators means LCM of 41,792 as per the given fractions.

LCM of 41,792 is 32472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 368,846

GCF of Fractions 368/41,846/792 is 2/32472

2 368, 846
184, 423

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

Greatest Common Factor of 368,846 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,846 By Matching Biggest Common Factor Method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 368,846 . The biggest common factor number is the GCF number.
So the greatest common factor 368,846 is 2.

Lets's calculate LCM of 41,792

Given numbers has no common factors except 1. So, there LCM is their product i.e 32472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32472

Therefore, the GCF of Fractions 368/41,846/792 is 2/32472

Least Common Multiple of 41,792 with GCF Formula

Least Common Multiple of 41,792 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 41,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,792) = 1

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

GCF(41,792) x common factors =1 x 1 = 1

LCM(41,792) = ( 41 × 792 ) / 1

LCM(41,792) = 32472 / 1

LCM(41,792) = 32472


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 368/41, 846/792

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 368/41, 846/792?

Answer: GCF of Numerators as per given numbers 368/41, 846/792 is

GCF of Numerators i.e. for 368,846 is 2

LCM of denominators i.e. for 41,792 is 32472.

Thus, GCF of Fractions is 2/32472.Finally, GCF of Fractions for 368/41, 846/792 is 2/32472.