GCD of 821, 588, 149 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 821, 588, 149 i.e. 1 largest integer that divides all the numbers equally.

GCD of 821, 588, 149 is 1

GCD(821, 588, 149) = 1

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

GCD of

GCD of numbers 821, 588, 149 is 1

GCD(821, 588, 149) = 1

GCD of 821,588,149 Calculator

GCDof 821,588,149 is 1

Given Input numbers are 821, 588, 149

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 821, 588, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 588, 149 is 1.

Therefore, GCD of numbers 821, 588, 149 is 1

Finding GCD of 821, 588, 149 using Prime Factorization

Given Input Data is 821, 588, 149

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

Prime Factorization of 821 is 821

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 149 is 149

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

Finding GCD of 821, 588, 149 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(821, 588) = 482748

GCD(821, 588) = ( 821 x 588 ) / 482748

GCD(821, 588) = 482748 / 482748

GCD(821, 588) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 821, 588, 149 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 821, 588, 149

1. What is the GCD of 821, 588, 149?

GCD of 821, 588, 149 is 1


2. Where do I get the detailed procedure to find GCD of 821, 588, 149?

You can find a detailed procedure to find GCD of 821, 588, 149 on our page.


3. How to find GCD of 821, 588, 149 on a calculator?

You can find the GCD of 821, 588, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.