Greatest Common Factor of 813/74, 458/26, 200/361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 813/74, 458/26, 200/361

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 813/74,458/26,200/361

Given fractions are 813/74,458/26,200/361

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 813,458,200

Greatest Common Factor of Numerators i.e. GCF of 813,458,200 is 1 .

LCM of Denominators means LCM of 74,26,361 as per the given fractions.

LCM of 74,26,361 is 347282 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 813,458,200

GCF of Fractions 813/74,458/26,200/361 is 1/347282

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

Greatest Common Factor of 813,458,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,458,200 By Matching Biggest Common Factor Method

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 813,458,200 . The biggest common factor number is the GCF number.
So the greatest common factor 813,458,200 is 1.

Lets's calculate LCM of 74,26,361

2 74, 26, 361
37, 13, 361

∴ So the LCM of the given numbers is 2 x 37 x 13 x 361 = 347282

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/347282

Therefore, the GCF of Fractions 813/74,458/26,200/361 is 1/347282

Least Common Multiple of 74,26,361 with GCF Formula

Least Common Multiple of 74,26,361 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 74,26,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,26,361) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,26,361) x common factors =1 x 2 = 2

LCM(74,26,361) = ( 74 × 26 × 361 ) / 2

LCM(74,26,361) = 694564 / 2

LCM(74,26,361) = 347282


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 813/74, 458/26, 200/361

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 813/74, 458/26, 200/361?

Answer: GCF of Numerators as per given numbers 813/74, 458/26, 200/361 is

GCF of Numerators i.e. for 813,458,200 is 1

LCM of denominators i.e. for 74,26,361 is 347282.

Thus, GCF of Fractions is 1/347282.Finally, GCF of Fractions for 813/74, 458/26, 200/361 is 1/347282.