GCD of 420, 732, 383, 468 Calculator

Given Input numbers are 420, 732, 383, 468

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 420, 732, 383, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 732, 383, 468 is 1.

Therefore, GCD of numbers 420, 732, 383, 468 is 1

Given Input Data is 420, 732, 383, 468

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 383 is 383

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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(420, 732) = 25620

GCD(420, 732) = ( 420 x 732 ) / 25620

GCD(420, 732) = 307440 / 25620

GCD(420, 732) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 383

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

LCM(12, 383) = 4596

GCD(12, 383) = ( 12 x 383 ) / 4596

GCD(12, 383) = 4596 / 4596

GCD(12, 383) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

GCD of 420, 732, 383, 468 is 1

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1. What is the GCD of 420, 732, 383, 468?

GCD of 420, 732, 383, 468 is 1

2. Where do I get the detailed procedure to find GCD of 420, 732, 383, 468?

You can find a detailed procedure to find GCD of 420, 732, 383, 468 on our page.

3. How to find GCD of 420, 732, 383, 468 on a calculator?

You can find the GCD of 420, 732, 383, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.