GCD of 72, 454, 587, 446 Calculator

Given Input numbers are 72, 454, 587, 446

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 72, 454, 587, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 454, 587, 446 is 1.

Therefore, GCD of numbers 72, 454, 587, 446 is 1

Given Input Data is 72, 454, 587, 446

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 454 is 2 x 227

Prime Factorization of 587 is 587

Prime Factorization of 446 is 2 x 223

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(72, 454) = 16344

GCD(72, 454) = ( 72 x 454 ) / 16344

GCD(72, 454) = 32688 / 16344

GCD(72, 454) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 587

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

LCM(2, 587) = 1174

GCD(2, 587) = ( 2 x 587 ) / 1174

GCD(2, 587) = 1174 / 1174

GCD(2, 587) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 446

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

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 1

GCD of 72, 454, 587, 446 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 947, 599, 924
• GCD of 47, 598, 284, 383
• GCD of 48, 775, 513, 734
• GCD of 47, 687, 900, 642
• GCD of 45, 808, 705, 763

1. What is the GCD of 72, 454, 587, 446?

GCD of 72, 454, 587, 446 is 1

2. Where do I get the detailed procedure to find GCD of 72, 454, 587, 446?

You can find a detailed procedure to find GCD of 72, 454, 587, 446 on our page.

3. How to find GCD of 72, 454, 587, 446 on a calculator?

You can find the GCD of 72, 454, 587, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.