Greatest Common Factor of 9466/186, 8002/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9466/186, 8002/461

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 9466/186,8002/461

Given fractions are 9466/186,8002/461

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 9466,8002

Greatest Common Factor of Numerators i.e. GCF of 9466,8002 is 2 .

LCM of Denominators means LCM of 186,461 as per the given fractions.

LCM of 186,461 is 85746 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9466,8002

GCF of Fractions 9466/186,8002/461 is 2/85746

2 9466, 8002
4733, 4001

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

Greatest Common Factor of 9466,8002 By Matching Biggest Common Factor Method

Greatest Common Factor of 9466,8002 By Matching Biggest Common Factor Method

Factors of 9466

List of positive integer factors of 9466 that divides 9466 without a remainder.

1,2,4733,9466

Factors of 8002

List of positive integer factors of 8002 that divides 8002 without a remainder.

1,2,4001,8002

Greatest Common Factor

We found the factors 9466,8002 . The biggest common factor number is the GCF number.
So the greatest common factor 9466,8002 is 2.

Lets's calculate LCM of 186,461

Given numbers has no common factors except 1. So, there LCM is their product i.e 85746

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/85746

Therefore, the GCF of Fractions 9466/186,8002/461 is 2/85746

Least Common Multiple of 186,461 with GCF Formula

Least Common Multiple of 186,461 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 186,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(186,461) = 1

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

GCF(186,461) x common factors =1 x 1 = 1

LCM(186,461) = ( 186 × 461 ) / 1

LCM(186,461) = 85746 / 1

LCM(186,461) = 85746


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 9466/186, 8002/461

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 9466/186, 8002/461?

Answer: GCF of Numerators as per given numbers 9466/186, 8002/461 is

GCF of Numerators i.e. for 9466,8002 is 2

LCM of denominators i.e. for 186,461 is 85746.

Thus, GCF of Fractions is 2/85746.Finally, GCF of Fractions for 9466/186, 8002/461 is 2/85746.