Greatest Common Factor of 6581/353, 8007/7349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6581/353, 8007/7349

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 6581/353,8007/7349

Given fractions are 6581/353,8007/7349

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 6581,8007

Greatest Common Factor of Numerators i.e. GCF of 6581,8007 is 1 .

LCM of Denominators means LCM of 353,7349 as per the given fractions.

LCM of 353,7349 is 2594197 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6581,8007

GCF of Fractions 6581/353,8007/7349 is 1/2594197

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

Greatest Common Factor of 6581,8007 By Matching Biggest Common Factor Method

Greatest Common Factor of 6581,8007 By Matching Biggest Common Factor Method

Factors of 6581

List of positive integer factors of 6581 that divides 6581 without a remainder.

1,6581

Factors of 8007

List of positive integer factors of 8007 that divides 8007 without a remainder.

1,3,17,51,157,471,2669,8007

Greatest Common Factor

We found the factors 6581,8007 . The biggest common factor number is the GCF number.
So the greatest common factor 6581,8007 is 1.

Lets's calculate LCM of 353,7349

Given numbers has no common factors except 1. So, there LCM is their product i.e 2594197

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2594197

Therefore, the GCF of Fractions 6581/353,8007/7349 is 1/2594197

Least Common Multiple of 353,7349 with GCF Formula

Least Common Multiple of 353,7349 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 353,7349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,7349) = 1

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

GCF(353,7349) x common factors =1 x 1 = 1

LCM(353,7349) = ( 353 × 7349 ) / 1

LCM(353,7349) = 2594197 / 1

LCM(353,7349) = 2594197


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 6581/353, 8007/7349

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 6581/353, 8007/7349?

Answer: GCF of Numerators as per given numbers 6581/353, 8007/7349 is

GCF of Numerators i.e. for 6581,8007 is 1

LCM of denominators i.e. for 353,7349 is 2594197.

Thus, GCF of Fractions is 1/2594197.Finally, GCF of Fractions for 6581/353, 8007/7349 is 1/2594197.