GCD of 72, 145, 420, 427 Calculator

Given Input numbers are 72, 145, 420, 427

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 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

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 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 72, 145, 420, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 145, 420, 427 is 1.

Therefore, GCD of numbers 72, 145, 420, 427 is 1

Given Input Data is 72, 145, 420, 427

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 145 is 5 x 29

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

Prime Factorization of 427 is 7 x 61

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, 145) = 10440

GCD(72, 145) = ( 72 x 145 ) / 10440

GCD(72, 145) = 10440 / 10440

GCD(72, 145) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

GCD of 72, 145, 420, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 250, 116, 903
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• GCD of 93, 650, 593, 760
• GCD of 16, 444, 927, 403
• GCD of 53, 875, 750, 132

1. What is the GCD of 72, 145, 420, 427?

GCD of 72, 145, 420, 427 is 1

2. Where do I get the detailed procedure to find GCD of 72, 145, 420, 427?

You can find a detailed procedure to find GCD of 72, 145, 420, 427 on our page.

3. How to find GCD of 72, 145, 420, 427 on a calculator?

You can find the GCD of 72, 145, 420, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.