Greatest Common Factor of 9306/180, 7826/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9306/180, 7826/969

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 9306/180,7826/969

Given fractions are 9306/180,7826/969

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 9306,7826

Greatest Common Factor of Numerators i.e. GCF of 9306,7826 is 2 .

LCM of Denominators means LCM of 180,969 as per the given fractions.

LCM of 180,969 is 58140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9306,7826

GCF of Fractions 9306/180,7826/969 is 2/58140

2 9306, 7826
4653, 3913

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

Greatest Common Factor of 9306,7826 By Matching Biggest Common Factor Method

Greatest Common Factor of 9306,7826 By Matching Biggest Common Factor Method

Factors of 9306

List of positive integer factors of 9306 that divides 9306 without a remainder.

1,2,3,6,9,11,18,22,33,47,66,94,99,141,198,282,423,517,846,1034,1551,3102,4653,9306

Factors of 7826

List of positive integer factors of 7826 that divides 7826 without a remainder.

1,2,7,13,14,26,43,86,91,182,301,559,602,1118,3913,7826

Greatest Common Factor

We found the factors 9306,7826 . The biggest common factor number is the GCF number.
So the greatest common factor 9306,7826 is 2.

Lets's calculate LCM of 180,969

3 180, 969
60, 323

∴ So the LCM of the given numbers is 3 x 60 x 323 = 58140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/58140

Therefore, the GCF of Fractions 9306/180,7826/969 is 2/58140

Least Common Multiple of 180,969 with GCF Formula

Least Common Multiple of 180,969 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 180,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,969) = 3

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

GCF(180,969) x common factors =3 x 1 = 3

LCM(180,969) = ( 180 × 969 ) / 3

LCM(180,969) = 174420 / 3

LCM(180,969) = 58140


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 9306/180, 7826/969

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 9306/180, 7826/969?

Answer: GCF of Numerators as per given numbers 9306/180, 7826/969 is

GCF of Numerators i.e. for 9306,7826 is 2

LCM of denominators i.e. for 180,969 is 58140.

Thus, GCF of Fractions is 2/58140.Finally, GCF of Fractions for 9306/180, 7826/969 is 2/58140.