Greatest Common Factor of 8043/65, 9658/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8043/65, 9658/219

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 8043/65,9658/219

Given fractions are 8043/65,9658/219

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 8043,9658

Greatest Common Factor of Numerators i.e. GCF of 8043,9658 is 1 .

LCM of Denominators means LCM of 65,219 as per the given fractions.

LCM of 65,219 is 14235 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8043,9658

GCF of Fractions 8043/65,9658/219 is 1/14235

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

Greatest Common Factor of 8043,9658 By Matching Biggest Common Factor Method

Greatest Common Factor of 8043,9658 By Matching Biggest Common Factor Method

Factors of 8043

List of positive integer factors of 8043 that divides 8043 without a remainder.

1,3,7,21,383,1149,2681,8043

Factors of 9658

List of positive integer factors of 9658 that divides 9658 without a remainder.

1,2,11,22,439,878,4829,9658

Greatest Common Factor

We found the factors 8043,9658 . The biggest common factor number is the GCF number.
So the greatest common factor 8043,9658 is 1.

Lets's calculate LCM of 65,219

Given numbers has no common factors except 1. So, there LCM is their product i.e 14235

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14235

Therefore, the GCF of Fractions 8043/65,9658/219 is 1/14235

Least Common Multiple of 65,219 with GCF Formula

Least Common Multiple of 65,219 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 65,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,219) = 1

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

GCF(65,219) x common factors =1 x 1 = 1

LCM(65,219) = ( 65 × 219 ) / 1

LCM(65,219) = 14235 / 1

LCM(65,219) = 14235


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 8043/65, 9658/219

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 8043/65, 9658/219?

Answer: GCF of Numerators as per given numbers 8043/65, 9658/219 is

GCF of Numerators i.e. for 8043,9658 is 1

LCM of denominators i.e. for 65,219 is 14235.

Thus, GCF of Fractions is 1/14235.Finally, GCF of Fractions for 8043/65, 9658/219 is 1/14235.