GCD of 598, 654, 21 Calculator

Given Input numbers are 598, 654, 21

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

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Greatest Common Divisior

We found the divisors of 598, 654, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 654, 21 is 1.

Therefore, GCD of numbers 598, 654, 21 is 1

Given Input Data is 598, 654, 21

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 21 is 3 x 7

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

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(598, 654) = 195546

GCD(598, 654) = ( 598 x 654 ) / 195546

GCD(598, 654) = 391092 / 195546

GCD(598, 654) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

GCD of 598, 654, 21 is 1

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1. What is the GCD of 598, 654, 21?

GCD of 598, 654, 21 is 1

2. Where do I get the detailed procedure to find GCD of 598, 654, 21?

You can find a detailed procedure to find GCD of 598, 654, 21 on our page.

3. How to find GCD of 598, 654, 21 on a calculator?

You can find the GCD of 598, 654, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.