Greatest Common Factor of 371/6017, 805/9306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 371/6017, 805/9306

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 371/6017,805/9306

Given fractions are 371/6017,805/9306

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 371,805

Greatest Common Factor of Numerators i.e. GCF of 371,805 is 7 .

LCM of Denominators means LCM of 6017,9306 as per the given fractions.

LCM of 6017,9306 is 5090382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 371,805

GCF of Fractions 371/6017,805/9306 is 7/5090382

7 371, 805
53, 115

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 371,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 371,805 By Matching Biggest Common Factor Method

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 371,805 . The biggest common factor number is the GCF number.
So the greatest common factor 371,805 is 7.

Lets's calculate LCM of 6017,9306

11 6017, 9306
547, 846

∴ So the LCM of the given numbers is 11 x 547 x 846 = 5090382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5090382

Therefore, the GCF of Fractions 371/6017,805/9306 is 7/5090382

Least Common Multiple of 6017,9306 with GCF Formula

Least Common Multiple of 6017,9306 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 6017,9306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6017,9306) = 11

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

GCF(6017,9306) x common factors =11 x 1 = 11

LCM(6017,9306) = ( 6017 × 9306 ) / 11

LCM(6017,9306) = 55994202 / 11

LCM(6017,9306) = 5090382


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 371/6017, 805/9306

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 371/6017, 805/9306?

Answer: GCF of Numerators as per given numbers 371/6017, 805/9306 is

GCF of Numerators i.e. for 371,805 is 7

LCM of denominators i.e. for 6017,9306 is 5090382.

Thus, GCF of Fractions is 7/5090382.Finally, GCF of Fractions for 371/6017, 805/9306 is 7/5090382.