Greatest Common Factor of 9794/368, 5326/807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9794/368, 5326/807

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 9794/368,5326/807

Given fractions are 9794/368,5326/807

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 9794,5326

Greatest Common Factor of Numerators i.e. GCF of 9794,5326 is 2 .

LCM of Denominators means LCM of 368,807 as per the given fractions.

LCM of 368,807 is 296976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9794,5326

GCF of Fractions 9794/368,5326/807 is 2/296976

2 9794, 5326
4897, 2663

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9794,5326 By Matching Biggest Common Factor Method

Greatest Common Factor of 9794,5326 By Matching Biggest Common Factor Method

Factors of 9794

List of positive integer factors of 9794 that divides 9794 without a remainder.

1,2,59,83,118,166,4897,9794

Factors of 5326

List of positive integer factors of 5326 that divides 5326 without a remainder.

1,2,2663,5326

Greatest Common Factor

We found the factors 9794,5326 . The biggest common factor number is the GCF number.
So the greatest common factor 9794,5326 is 2.

Lets's calculate LCM of 368,807

Given numbers has no common factors except 1. So, there LCM is their product i.e 296976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/296976

Therefore, the GCF of Fractions 9794/368,5326/807 is 2/296976

Least Common Multiple of 368,807 with GCF Formula

Least Common Multiple of 368,807 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 368,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,807) = 1

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

GCF(368,807) x common factors =1 x 1 = 1

LCM(368,807) = ( 368 × 807 ) / 1

LCM(368,807) = 296976 / 1

LCM(368,807) = 296976


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 9794/368, 5326/807

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 9794/368, 5326/807?

Answer: GCF of Numerators as per given numbers 9794/368, 5326/807 is

GCF of Numerators i.e. for 9794,5326 is 2

LCM of denominators i.e. for 368,807 is 296976.

Thus, GCF of Fractions is 2/296976.Finally, GCF of Fractions for 9794/368, 5326/807 is 2/296976.