GCD of 421, 462, 675 Calculator

Given Input numbers are 421, 462, 675

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 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 421, 462, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 462, 675 is 1.

Therefore, GCD of numbers 421, 462, 675 is 1

Given Input Data is 421, 462, 675

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

Prime Factorization of 421 is 421

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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, 462) = 194502

GCD(421, 462) = ( 421 x 462 ) / 194502

GCD(421, 462) = 194502 / 194502

GCD(421, 462) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1

GCD of 421, 462, 675 is 1

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1. What is the GCD of 421, 462, 675?

GCD of 421, 462, 675 is 1

2. Where do I get the detailed procedure to find GCD of 421, 462, 675?

You can find a detailed procedure to find GCD of 421, 462, 675 on our page.

3. How to find GCD of 421, 462, 675 on a calculator?

You can find the GCD of 421, 462, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.