Greatest Common Factor of 741/857, 3686/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 741/857, 3686/284

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 741/857,3686/284

Given fractions are 741/857,3686/284

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 741,3686

Greatest Common Factor of Numerators i.e. GCF of 741,3686 is 19 .

LCM of Denominators means LCM of 857,284 as per the given fractions.

LCM of 857,284 is 243388 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 741,3686

GCF of Fractions 741/857,3686/284 is 19/243388

19 741, 3686
39, 194

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 741,3686 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,3686 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 3686

List of positive integer factors of 3686 that divides 3686 without a remainder.

1,2,19,38,97,194,1843,3686

Greatest Common Factor

We found the factors 741,3686 . The biggest common factor number is the GCF number.
So the greatest common factor 741,3686 is 19.

Lets's calculate LCM of 857,284

Given numbers has no common factors except 1. So, there LCM is their product i.e 243388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/243388

Therefore, the GCF of Fractions 741/857,3686/284 is 19/243388

Least Common Multiple of 857,284 with GCF Formula

Least Common Multiple of 857,284 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 857,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(857,284) = 1

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

GCF(857,284) x common factors =1 x 1 = 1

LCM(857,284) = ( 857 × 284 ) / 1

LCM(857,284) = 243388 / 1

LCM(857,284) = 243388


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 741/857, 3686/284

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 741/857, 3686/284?

Answer: GCF of Numerators as per given numbers 741/857, 3686/284 is

GCF of Numerators i.e. for 741,3686 is 19

LCM of denominators i.e. for 857,284 is 243388.

Thus, GCF of Fractions is 19/243388.Finally, GCF of Fractions for 741/857, 3686/284 is 19/243388.