GCD of 421, 414, 37, 565 Calculator

Given Input numbers are 421, 414, 37, 565

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

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 421, 414, 37, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 414, 37, 565 is 1.

Therefore, GCD of numbers 421, 414, 37, 565 is 1

Given Input Data is 421, 414, 37, 565

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

Prime Factorization of 421 is 421

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 37 is 37

Prime Factorization of 565 is 5 x 113

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(421, 414) = 174294

GCD(421, 414) = ( 421 x 414 ) / 174294

GCD(421, 414) = 174294 / 174294

GCD(421, 414) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 565

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

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1

GCD of 421, 414, 37, 565 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 302, 539, 86, 623
• GCD of 527, 282, 42, 462
• GCD of 852, 347, 21, 598
• GCD of 939, 581, 60, 867
• GCD of 368, 896, 33, 304

1. What is the GCD of 421, 414, 37, 565?

GCD of 421, 414, 37, 565 is 1

2. Where do I get the detailed procedure to find GCD of 421, 414, 37, 565?

You can find a detailed procedure to find GCD of 421, 414, 37, 565 on our page.

3. How to find GCD of 421, 414, 37, 565 on a calculator?

You can find the GCD of 421, 414, 37, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.