GCD of 408, 549, 21, 140 Calculator

Given Input numbers are 408, 549, 21, 140

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 21

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

1, 3, 7, 21

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Greatest Common Divisior

We found the divisors of 408, 549, 21, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 549, 21, 140 is 1.

Therefore, GCD of numbers 408, 549, 21, 140 is 1

Given Input Data is 408, 549, 21, 140

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 21 is 3 x 7

Prime Factorization of 140 is 2 x 2 x 5 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(408, 549) = 74664

GCD(408, 549) = ( 408 x 549 ) / 74664

GCD(408, 549) = 223992 / 74664

GCD(408, 549) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 21

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

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

GCD(3, 21) = 63 / 21

GCD(3, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 140

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

LCM(3, 140) = 420

GCD(3, 140) = ( 3 x 140 ) / 420

GCD(3, 140) = 420 / 420

GCD(3, 140) = 1

GCD of 408, 549, 21, 140 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 316, 20, 293
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• GCD of 355, 302, 54, 624

1. What is the GCD of 408, 549, 21, 140?

GCD of 408, 549, 21, 140 is 1

2. Where do I get the detailed procedure to find GCD of 408, 549, 21, 140?

You can find a detailed procedure to find GCD of 408, 549, 21, 140 on our page.

3. How to find GCD of 408, 549, 21, 140 on a calculator?

You can find the GCD of 408, 549, 21, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.