Greatest Common Factor of 9697/83, 4863/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9697/83, 4863/258

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 9697/83,4863/258

Given fractions are 9697/83,4863/258

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 9697,4863

Greatest Common Factor of Numerators i.e. GCF of 9697,4863 is 1 .

LCM of Denominators means LCM of 83,258 as per the given fractions.

LCM of 83,258 is 21414 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9697,4863

GCF of Fractions 9697/83,4863/258 is 1/21414

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

Greatest Common Factor of 9697,4863 By Matching Biggest Common Factor Method

Greatest Common Factor of 9697,4863 By Matching Biggest Common Factor Method

Factors of 9697

List of positive integer factors of 9697 that divides 9697 without a remainder.

1,9697

Factors of 4863

List of positive integer factors of 4863 that divides 4863 without a remainder.

1,3,1621,4863

Greatest Common Factor

We found the factors 9697,4863 . The biggest common factor number is the GCF number.
So the greatest common factor 9697,4863 is 1.

Lets's calculate LCM of 83,258

Given numbers has no common factors except 1. So, there LCM is their product i.e 21414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21414

Therefore, the GCF of Fractions 9697/83,4863/258 is 1/21414

Least Common Multiple of 83,258 with GCF Formula

Least Common Multiple of 83,258 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 83,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,258) = 1

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

GCF(83,258) x common factors =1 x 1 = 1

LCM(83,258) = ( 83 × 258 ) / 1

LCM(83,258) = 21414 / 1

LCM(83,258) = 21414


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 9697/83, 4863/258

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 9697/83, 4863/258?

Answer: GCF of Numerators as per given numbers 9697/83, 4863/258 is

GCF of Numerators i.e. for 9697,4863 is 1

LCM of denominators i.e. for 83,258 is 21414.

Thus, GCF of Fractions is 1/21414.Finally, GCF of Fractions for 9697/83, 4863/258 is 1/21414.