Greatest Common Factor of 8167/409, 5682/9618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8167/409, 5682/9618

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 8167/409,5682/9618

Given fractions are 8167/409,5682/9618

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 8167,5682

Greatest Common Factor of Numerators i.e. GCF of 8167,5682 is 1 .

LCM of Denominators means LCM of 409,9618 as per the given fractions.

LCM of 409,9618 is 3933762 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8167,5682

GCF of Fractions 8167/409,5682/9618 is 1/3933762

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

Greatest Common Factor of 8167,5682 By Matching Biggest Common Factor Method

Greatest Common Factor of 8167,5682 By Matching Biggest Common Factor Method

Factors of 8167

List of positive integer factors of 8167 that divides 8167 without a remainder.

1,8167

Factors of 5682

List of positive integer factors of 5682 that divides 5682 without a remainder.

1,2,3,6,947,1894,2841,5682

Greatest Common Factor

We found the factors 8167,5682 . The biggest common factor number is the GCF number.
So the greatest common factor 8167,5682 is 1.

Lets's calculate LCM of 409,9618

Given numbers has no common factors except 1. So, there LCM is their product i.e 3933762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3933762

Therefore, the GCF of Fractions 8167/409,5682/9618 is 1/3933762

Least Common Multiple of 409,9618 with GCF Formula

Least Common Multiple of 409,9618 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 409,9618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,9618) = 1

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

GCF(409,9618) x common factors =1 x 1 = 1

LCM(409,9618) = ( 409 × 9618 ) / 1

LCM(409,9618) = 3933762 / 1

LCM(409,9618) = 3933762


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 8167/409, 5682/9618

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 8167/409, 5682/9618?

Answer: GCF of Numerators as per given numbers 8167/409, 5682/9618 is

GCF of Numerators i.e. for 8167,5682 is 1

LCM of denominators i.e. for 409,9618 is 3933762.

Thus, GCF of Fractions is 1/3933762.Finally, GCF of Fractions for 8167/409, 5682/9618 is 1/3933762.