Greatest Common Factor of 1992/836, 3001/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1992/836, 3001/198

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 1992/836,3001/198

Given fractions are 1992/836,3001/198

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 1992,3001

Greatest Common Factor of Numerators i.e. GCF of 1992,3001 is 1 .

LCM of Denominators means LCM of 836,198 as per the given fractions.

LCM of 836,198 is 7524 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1992,3001

GCF of Fractions 1992/836,3001/198 is 1/7524

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1992,3001 By Matching Biggest Common Factor Method

Greatest Common Factor of 1992,3001 By Matching Biggest Common Factor Method

Factors of 1992

List of positive integer factors of 1992 that divides 1992 without a remainder.

1,2,3,4,6,8,12,24,83,166,249,332,498,664,996,1992

Factors of 3001

List of positive integer factors of 3001 that divides 3001 without a remainder.

1,3001

Greatest Common Factor

We found the factors 1992,3001 . The biggest common factor number is the GCF number.
So the greatest common factor 1992,3001 is 1.

Lets's calculate LCM of 836,198

2 836, 198
11 418, 99
38, 9

∴ So the LCM of the given numbers is 2 x 11 x 38 x 9 = 7524

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7524

Therefore, the GCF of Fractions 1992/836,3001/198 is 1/7524

Least Common Multiple of 836,198 with GCF Formula

Least Common Multiple of 836,198 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 836,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,198) = 22

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

GCF(836,198) x common factors =22 x 1 = 22

LCM(836,198) = ( 836 × 198 ) / 22

LCM(836,198) = 165528 / 22

LCM(836,198) = 7524


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 1992/836, 3001/198

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 1992/836, 3001/198?

Answer: GCF of Numerators as per given numbers 1992/836, 3001/198 is

GCF of Numerators i.e. for 1992,3001 is 1

LCM of denominators i.e. for 836,198 is 7524.

Thus, GCF of Fractions is 1/7524.Finally, GCF of Fractions for 1992/836, 3001/198 is 1/7524.