GCD of 406, 421, 252, 315 Calculator

Given Input numbers are 406, 421, 252, 315

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

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 421

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

1, 421

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Greatest Common Divisior

We found the divisors of 406, 421, 252, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 421, 252, 315 is 1.

Therefore, GCD of numbers 406, 421, 252, 315 is 1

Given Input Data is 406, 421, 252, 315

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

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 421 is 421

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 315 is 3 x 3 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(406, 421) = 170926

GCD(406, 421) = ( 406 x 421 ) / 170926

GCD(406, 421) = 170926 / 170926

GCD(406, 421) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 252

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

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

GCD(1, 252) = 252 / 252

GCD(1, 252) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

GCD of 406, 421, 252, 315 is 1

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1. What is the GCD of 406, 421, 252, 315?

GCD of 406, 421, 252, 315 is 1

2. Where do I get the detailed procedure to find GCD of 406, 421, 252, 315?

You can find a detailed procedure to find GCD of 406, 421, 252, 315 on our page.

3. How to find GCD of 406, 421, 252, 315 on a calculator?

You can find the GCD of 406, 421, 252, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.