Greatest Common Factor of 1982/197, 3681/1585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1982/197, 3681/1585

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 1982/197,3681/1585

Given fractions are 1982/197,3681/1585

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 1982,3681

Greatest Common Factor of Numerators i.e. GCF of 1982,3681 is 1 .

LCM of Denominators means LCM of 197,1585 as per the given fractions.

LCM of 197,1585 is 312245 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1982,3681

GCF of Fractions 1982/197,3681/1585 is 1/312245

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

Greatest Common Factor of 1982,3681 By Matching Biggest Common Factor Method

Greatest Common Factor of 1982,3681 By Matching Biggest Common Factor Method

Factors of 1982

List of positive integer factors of 1982 that divides 1982 without a remainder.

1,2,991,1982

Factors of 3681

List of positive integer factors of 3681 that divides 3681 without a remainder.

1,3,9,409,1227,3681

Greatest Common Factor

We found the factors 1982,3681 . The biggest common factor number is the GCF number.
So the greatest common factor 1982,3681 is 1.

Lets's calculate LCM of 197,1585

Given numbers has no common factors except 1. So, there LCM is their product i.e 312245

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/312245

Therefore, the GCF of Fractions 1982/197,3681/1585 is 1/312245

Least Common Multiple of 197,1585 with GCF Formula

Least Common Multiple of 197,1585 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 197,1585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(197,1585) = 1

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

GCF(197,1585) x common factors =1 x 1 = 1

LCM(197,1585) = ( 197 × 1585 ) / 1

LCM(197,1585) = 312245 / 1

LCM(197,1585) = 312245


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 1982/197, 3681/1585

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 1982/197, 3681/1585?

Answer: GCF of Numerators as per given numbers 1982/197, 3681/1585 is

GCF of Numerators i.e. for 1982,3681 is 1

LCM of denominators i.e. for 197,1585 is 312245.

Thus, GCF of Fractions is 1/312245.Finally, GCF of Fractions for 1982/197, 3681/1585 is 1/312245.