Greatest Common Factor of 9602/983, 8993/3699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9602/983, 8993/3699

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 9602/983,8993/3699

Given fractions are 9602/983,8993/3699

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 9602,8993

Greatest Common Factor of Numerators i.e. GCF of 9602,8993 is 1 .

LCM of Denominators means LCM of 983,3699 as per the given fractions.

LCM of 983,3699 is 3636117 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9602,8993

GCF of Fractions 9602/983,8993/3699 is 1/3636117

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

Greatest Common Factor of 9602,8993 By Matching Biggest Common Factor Method

Greatest Common Factor of 9602,8993 By Matching Biggest Common Factor Method

Factors of 9602

List of positive integer factors of 9602 that divides 9602 without a remainder.

1,2,4801,9602

Factors of 8993

List of positive integer factors of 8993 that divides 8993 without a remainder.

1,17,23,391,529,8993

Greatest Common Factor

We found the factors 9602,8993 . The biggest common factor number is the GCF number.
So the greatest common factor 9602,8993 is 1.

Lets's calculate LCM of 983,3699

Given numbers has no common factors except 1. So, there LCM is their product i.e 3636117

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3636117

Therefore, the GCF of Fractions 9602/983,8993/3699 is 1/3636117

Least Common Multiple of 983,3699 with GCF Formula

Least Common Multiple of 983,3699 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 983,3699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,3699) = 1

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

GCF(983,3699) x common factors =1 x 1 = 1

LCM(983,3699) = ( 983 × 3699 ) / 1

LCM(983,3699) = 3636117 / 1

LCM(983,3699) = 3636117


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 9602/983, 8993/3699

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 9602/983, 8993/3699?

Answer: GCF of Numerators as per given numbers 9602/983, 8993/3699 is

GCF of Numerators i.e. for 9602,8993 is 1

LCM of denominators i.e. for 983,3699 is 3636117.

Thus, GCF of Fractions is 1/3636117.Finally, GCF of Fractions for 9602/983, 8993/3699 is 1/3636117.