Greatest Common Factor of 7697/51, 9393/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7697/51, 9393/404

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 7697/51,9393/404

Given fractions are 7697/51,9393/404

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 7697,9393

Greatest Common Factor of Numerators i.e. GCF of 7697,9393 is 1 .

LCM of Denominators means LCM of 51,404 as per the given fractions.

LCM of 51,404 is 20604 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7697,9393

GCF of Fractions 7697/51,9393/404 is 1/20604

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

Greatest Common Factor of 7697,9393 By Matching Biggest Common Factor Method

Greatest Common Factor of 7697,9393 By Matching Biggest Common Factor Method

Factors of 7697

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

1,43,179,7697

Factors of 9393

List of positive integer factors of 9393 that divides 9393 without a remainder.

1,3,31,93,101,303,3131,9393

Greatest Common Factor

We found the factors 7697,9393 . The biggest common factor number is the GCF number.
So the greatest common factor 7697,9393 is 1.

Lets's calculate LCM of 51,404

Given numbers has no common factors except 1. So, there LCM is their product i.e 20604

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20604

Therefore, the GCF of Fractions 7697/51,9393/404 is 1/20604

Least Common Multiple of 51,404 with GCF Formula

Least Common Multiple of 51,404 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 51,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,404) = 1

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

GCF(51,404) x common factors =1 x 1 = 1

LCM(51,404) = ( 51 × 404 ) / 1

LCM(51,404) = 20604 / 1

LCM(51,404) = 20604


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 7697/51, 9393/404

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 7697/51, 9393/404?

Answer: GCF of Numerators as per given numbers 7697/51, 9393/404 is

GCF of Numerators i.e. for 7697,9393 is 1

LCM of denominators i.e. for 51,404 is 20604.

Thus, GCF of Fractions is 1/20604.Finally, GCF of Fractions for 7697/51, 9393/404 is 1/20604.