GCD of 201, 147, 899 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 201, 147, 899 i.e. 1 largest integer that divides all the numbers equally.

GCD of 201, 147, 899 is 1

GCD(201, 147, 899) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 201, 147, 899 is 1

GCD(201, 147, 899) = 1

GCD of 201,147,899 Calculator

GCDof 201,147,899 is 1

Given Input numbers are 201, 147, 899

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 201, 147, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 201, 147, 899 is 1.

Therefore, GCD of numbers 201, 147, 899 is 1

Finding GCD of 201, 147, 899 using Prime Factorization

Given Input Data is 201, 147, 899

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 201 is 3 x 67

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 899 is 29 x 31

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 201, 147, 899 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(201, 147) = 9849

GCD(201, 147) = ( 201 x 147 ) / 9849

GCD(201, 147) = 29547 / 9849

GCD(201, 147) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 899

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 899) = 2697

GCD(3, 899) = ( 3 x 899 ) / 2697

GCD(3, 899) = 2697 / 2697

GCD(3, 899) = 1

GCD of 201, 147, 899 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 201, 147, 899

1. What is the GCD of 201, 147, 899?

GCD of 201, 147, 899 is 1

2. Where do I get the detailed procedure to find GCD of 201, 147, 899?

You can find a detailed procedure to find GCD of 201, 147, 899 on our page.

3. How to find GCD of 201, 147, 899 on a calculator?

You can find the GCD of 201, 147, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.