Greatest Common Factor of 9683/209, 7697/5984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9683/209, 7697/5984

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 9683/209,7697/5984

Given fractions are 9683/209,7697/5984

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 9683,7697

Greatest Common Factor of Numerators i.e. GCF of 9683,7697 is 1 .

LCM of Denominators means LCM of 209,5984 as per the given fractions.

LCM of 209,5984 is 113696 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9683,7697

GCF of Fractions 9683/209,7697/5984 is 1/113696

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

Greatest Common Factor of 9683,7697 By Matching Biggest Common Factor Method

Greatest Common Factor of 9683,7697 By Matching Biggest Common Factor Method

Factors of 9683

List of positive integer factors of 9683 that divides 9683 without a remainder.

1,23,421,9683

Factors of 7697

List of positive integer factors of 7697 that divides 7697 without a remainder.

1,43,179,7697

Greatest Common Factor

We found the factors 9683,7697 . The biggest common factor number is the GCF number.
So the greatest common factor 9683,7697 is 1.

Lets's calculate LCM of 209,5984

11 209, 5984
19, 544

∴ So the LCM of the given numbers is 11 x 19 x 544 = 113696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113696

Therefore, the GCF of Fractions 9683/209,7697/5984 is 1/113696

Least Common Multiple of 209,5984 with GCF Formula

Least Common Multiple of 209,5984 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 209,5984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,5984) = 11

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

GCF(209,5984) x common factors =11 x 1 = 11

LCM(209,5984) = ( 209 × 5984 ) / 11

LCM(209,5984) = 1250656 / 11

LCM(209,5984) = 113696


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 9683/209, 7697/5984

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 9683/209, 7697/5984?

Answer: GCF of Numerators as per given numbers 9683/209, 7697/5984 is

GCF of Numerators i.e. for 9683,7697 is 1

LCM of denominators i.e. for 209,5984 is 113696.

Thus, GCF of Fractions is 1/113696.Finally, GCF of Fractions for 9683/209, 7697/5984 is 1/113696.