Greatest Common Factor of 9982/658, 3609/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9982/658, 3609/991

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 9982/658,3609/991

Given fractions are 9982/658,3609/991

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 9982,3609

Greatest Common Factor of Numerators i.e. GCF of 9982,3609 is 1 .

LCM of Denominators means LCM of 658,991 as per the given fractions.

LCM of 658,991 is 652078 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9982,3609

GCF of Fractions 9982/658,3609/991 is 1/652078

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

Greatest Common Factor of 9982,3609 By Matching Biggest Common Factor Method

Greatest Common Factor of 9982,3609 By Matching Biggest Common Factor Method

Factors of 9982

List of positive integer factors of 9982 that divides 9982 without a remainder.

1,2,7,14,23,31,46,62,161,217,322,434,713,1426,4991,9982

Factors of 3609

List of positive integer factors of 3609 that divides 3609 without a remainder.

1,3,9,401,1203,3609

Greatest Common Factor

We found the factors 9982,3609 . The biggest common factor number is the GCF number.
So the greatest common factor 9982,3609 is 1.

Lets's calculate LCM of 658,991

Given numbers has no common factors except 1. So, there LCM is their product i.e 652078

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/652078

Therefore, the GCF of Fractions 9982/658,3609/991 is 1/652078

Least Common Multiple of 658,991 with GCF Formula

Least Common Multiple of 658,991 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 658,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(658,991) = 1

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

GCF(658,991) x common factors =1 x 1 = 1

LCM(658,991) = ( 658 × 991 ) / 1

LCM(658,991) = 652078 / 1

LCM(658,991) = 652078


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 9982/658, 3609/991

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 9982/658, 3609/991?

Answer: GCF of Numerators as per given numbers 9982/658, 3609/991 is

GCF of Numerators i.e. for 9982,3609 is 1

LCM of denominators i.e. for 658,991 is 652078.

Thus, GCF of Fractions is 1/652078.Finally, GCF of Fractions for 9982/658, 3609/991 is 1/652078.