Greatest Common Factor of 794/362, 9675/9316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 794/362, 9675/9316

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 794/362,9675/9316

Given fractions are 794/362,9675/9316

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 794,9675

Greatest Common Factor of Numerators i.e. GCF of 794,9675 is 1 .

LCM of Denominators means LCM of 362,9316 as per the given fractions.

LCM of 362,9316 is 1686196 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 794,9675

GCF of Fractions 794/362,9675/9316 is 1/1686196

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

Greatest Common Factor of 794,9675 By Matching Biggest Common Factor Method

Greatest Common Factor of 794,9675 By Matching Biggest Common Factor Method

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 9675

List of positive integer factors of 9675 that divides 9675 without a remainder.

1,3,5,9,15,25,43,45,75,129,215,225,387,645,1075,1935,3225,9675

Greatest Common Factor

We found the factors 794,9675 . The biggest common factor number is the GCF number.
So the greatest common factor 794,9675 is 1.

Lets's calculate LCM of 362,9316

2 362, 9316
181, 4658

∴ So the LCM of the given numbers is 2 x 181 x 4658 = 1686196

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1686196

Therefore, the GCF of Fractions 794/362,9675/9316 is 1/1686196

Least Common Multiple of 362,9316 with GCF Formula

Least Common Multiple of 362,9316 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 362,9316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,9316) = 2

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

GCF(362,9316) x common factors =2 x 1 = 2

LCM(362,9316) = ( 362 × 9316 ) / 2

LCM(362,9316) = 3372392 / 2

LCM(362,9316) = 1686196


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 794/362, 9675/9316

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 794/362, 9675/9316?

Answer: GCF of Numerators as per given numbers 794/362, 9675/9316 is

GCF of Numerators i.e. for 794,9675 is 1

LCM of denominators i.e. for 362,9316 is 1686196.

Thus, GCF of Fractions is 1/1686196.Finally, GCF of Fractions for 794/362, 9675/9316 is 1/1686196.