Greatest Common Factor of 9395/694, 2304/8162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9395/694, 2304/8162

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 9395/694,2304/8162

Given fractions are 9395/694,2304/8162

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 9395,2304

Greatest Common Factor of Numerators i.e. GCF of 9395,2304 is 1 .

LCM of Denominators means LCM of 694,8162 as per the given fractions.

LCM of 694,8162 is 2832214 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9395,2304

GCF of Fractions 9395/694,2304/8162 is 1/2832214

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

Greatest Common Factor of 9395,2304 By Matching Biggest Common Factor Method

Greatest Common Factor of 9395,2304 By Matching Biggest Common Factor Method

Factors of 9395

List of positive integer factors of 9395 that divides 9395 without a remainder.

1,5,1879,9395

Factors of 2304

List of positive integer factors of 2304 that divides 2304 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,576,768,1152,2304

Greatest Common Factor

We found the factors 9395,2304 . The biggest common factor number is the GCF number.
So the greatest common factor 9395,2304 is 1.

Lets's calculate LCM of 694,8162

2 694, 8162
347, 4081

∴ So the LCM of the given numbers is 2 x 347 x 4081 = 2832214

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2832214

Therefore, the GCF of Fractions 9395/694,2304/8162 is 1/2832214

Least Common Multiple of 694,8162 with GCF Formula

Least Common Multiple of 694,8162 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 694,8162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(694,8162) = 2

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

GCF(694,8162) x common factors =2 x 1 = 2

LCM(694,8162) = ( 694 × 8162 ) / 2

LCM(694,8162) = 5664428 / 2

LCM(694,8162) = 2832214


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 9395/694, 2304/8162

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 9395/694, 2304/8162?

Answer: GCF of Numerators as per given numbers 9395/694, 2304/8162 is

GCF of Numerators i.e. for 9395,2304 is 1

LCM of denominators i.e. for 694,8162 is 2832214.

Thus, GCF of Fractions is 1/2832214.Finally, GCF of Fractions for 9395/694, 2304/8162 is 1/2832214.