Greatest Common Factor of 395/533, 200/274, 211/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 395/533, 200/274, 211/365

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 395/533,200/274,211/365

Given fractions are 395/533,200/274,211/365

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 395,200,211

Greatest Common Factor of Numerators i.e. GCF of 395,200,211 is 1 .

LCM of Denominators means LCM of 533,274,365 as per the given fractions.

LCM of 533,274,365 is 53305330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 395,200,211

GCF of Fractions 395/533,200/274,211/365 is 1/53305330

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

Greatest Common Factor of 395,200,211 By Matching Biggest Common Factor Method

Greatest Common Factor of 395,200,211 By Matching Biggest Common Factor Method

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

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

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Greatest Common Factor

We found the factors 395,200,211 . The biggest common factor number is the GCF number.
So the greatest common factor 395,200,211 is 1.

Lets's calculate LCM of 533,274,365

Given numbers has no common factors except 1. So, there LCM is their product i.e 53305330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53305330

Therefore, the GCF of Fractions 395/533,200/274,211/365 is 1/53305330

Least Common Multiple of 533,274,365 with GCF Formula

Least Common Multiple of 533,274,365 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 533,274,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(533,274,365) = 1

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

GCF(533,274,365) x common factors =1 x 1 = 1

LCM(533,274,365) = ( 533 × 274 × 365 ) / 1

LCM(533,274,365) = 53305330 / 1

LCM(533,274,365) = 53305330


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 395/533, 200/274, 211/365

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 395/533, 200/274, 211/365?

Answer: GCF of Numerators as per given numbers 395/533, 200/274, 211/365 is

GCF of Numerators i.e. for 395,200,211 is 1

LCM of denominators i.e. for 533,274,365 is 53305330.

Thus, GCF of Fractions is 1/53305330.Finally, GCF of Fractions for 395/533, 200/274, 211/365 is 1/53305330.