Greatest Common Factor of 9695/330, 1383/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9695/330, 1383/297

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 9695/330,1383/297

Given fractions are 9695/330,1383/297

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 9695,1383

Greatest Common Factor of Numerators i.e. GCF of 9695,1383 is 1 .

LCM of Denominators means LCM of 330,297 as per the given fractions.

LCM of 330,297 is 2970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9695,1383

GCF of Fractions 9695/330,1383/297 is 1/2970

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

Greatest Common Factor of 9695,1383 By Matching Biggest Common Factor Method

Greatest Common Factor of 9695,1383 By Matching Biggest Common Factor Method

Factors of 9695

List of positive integer factors of 9695 that divides 9695 without a remainder.

1,5,7,35,277,1385,1939,9695

Factors of 1383

List of positive integer factors of 1383 that divides 1383 without a remainder.

1,3,461,1383

Greatest Common Factor

We found the factors 9695,1383 . The biggest common factor number is the GCF number.
So the greatest common factor 9695,1383 is 1.

Lets's calculate LCM of 330,297

3 330, 297
11 110, 99
10, 9

∴ So the LCM of the given numbers is 3 x 11 x 10 x 9 = 2970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2970

Therefore, the GCF of Fractions 9695/330,1383/297 is 1/2970

Least Common Multiple of 330,297 with GCF Formula

Least Common Multiple of 330,297 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 330,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,297) = 33

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

GCF(330,297) x common factors =33 x 1 = 33

LCM(330,297) = ( 330 × 297 ) / 33

LCM(330,297) = 98010 / 33

LCM(330,297) = 2970


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 9695/330, 1383/297

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 9695/330, 1383/297?

Answer: GCF of Numerators as per given numbers 9695/330, 1383/297 is

GCF of Numerators i.e. for 9695,1383 is 1

LCM of denominators i.e. for 330,297 is 2970.

Thus, GCF of Fractions is 1/2970.Finally, GCF of Fractions for 9695/330, 1383/297 is 1/2970.