Greatest Common Factor of 681/301, 8447/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 681/301, 8447/345

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 681/301,8447/345

Given fractions are 681/301,8447/345

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 681,8447

Greatest Common Factor of Numerators i.e. GCF of 681,8447 is 1 .

LCM of Denominators means LCM of 301,345 as per the given fractions.

LCM of 301,345 is 103845 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 681,8447

GCF of Fractions 681/301,8447/345 is 1/103845

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

Greatest Common Factor of 681,8447 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,8447 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 8447

List of positive integer factors of 8447 that divides 8447 without a remainder.

1,8447

Greatest Common Factor

We found the factors 681,8447 . The biggest common factor number is the GCF number.
So the greatest common factor 681,8447 is 1.

Lets's calculate LCM of 301,345

Given numbers has no common factors except 1. So, there LCM is their product i.e 103845

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/103845

Therefore, the GCF of Fractions 681/301,8447/345 is 1/103845

Least Common Multiple of 301,345 with GCF Formula

Least Common Multiple of 301,345 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 301,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,345) = 1

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

GCF(301,345) x common factors =1 x 1 = 1

LCM(301,345) = ( 301 × 345 ) / 1

LCM(301,345) = 103845 / 1

LCM(301,345) = 103845


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 681/301, 8447/345

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 681/301, 8447/345?

Answer: GCF of Numerators as per given numbers 681/301, 8447/345 is

GCF of Numerators i.e. for 681,8447 is 1

LCM of denominators i.e. for 301,345 is 103845.

Thus, GCF of Fractions is 1/103845.Finally, GCF of Fractions for 681/301, 8447/345 is 1/103845.