Greatest Common Factor of 1982/656, 2197/5009

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1982/656, 2197/5009

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 1982/656,2197/5009

Given fractions are 1982/656,2197/5009

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 1982,2197

Greatest Common Factor of Numerators i.e. GCF of 1982,2197 is 1 .

LCM of Denominators means LCM of 656,5009 as per the given fractions.

LCM of 656,5009 is 3285904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1982,2197

GCF of Fractions 1982/656,2197/5009 is 1/3285904

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

Greatest Common Factor of 1982,2197 By Matching Biggest Common Factor Method

Greatest Common Factor of 1982,2197 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 2197

List of positive integer factors of 2197 that divides 2197 without a remainder.

1,13,169,2197

Greatest Common Factor

We found the factors 1982,2197 . The biggest common factor number is the GCF number.
So the greatest common factor 1982,2197 is 1.

Lets's calculate LCM of 656,5009

Given numbers has no common factors except 1. So, there LCM is their product i.e 3285904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3285904

Therefore, the GCF of Fractions 1982/656,2197/5009 is 1/3285904

Least Common Multiple of 656,5009 with GCF Formula

Least Common Multiple of 656,5009 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 656,5009 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,5009) = 1

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

GCF(656,5009) x common factors =1 x 1 = 1

LCM(656,5009) = ( 656 × 5009 ) / 1

LCM(656,5009) = 3285904 / 1

LCM(656,5009) = 3285904


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 1982/656, 2197/5009

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 1982/656, 2197/5009?

Answer: GCF of Numerators as per given numbers 1982/656, 2197/5009 is

GCF of Numerators i.e. for 1982,2197 is 1

LCM of denominators i.e. for 656,5009 is 3285904.

Thus, GCF of Fractions is 1/3285904.Finally, GCF of Fractions for 1982/656, 2197/5009 is 1/3285904.