GCD of 72, 470, 993, 521 Calculator

Given Input numbers are 72, 470, 993, 521

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 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Greatest Common Divisior

We found the divisors of 72, 470, 993, 521 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 470, 993, 521 is 1.

Therefore, GCD of numbers 72, 470, 993, 521 is 1

Given Input Data is 72, 470, 993, 521

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 470 is 2 x 5 x 47

Prime Factorization of 993 is 3 x 331

Prime Factorization of 521 is 521

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, 470) = 16920

GCD(72, 470) = ( 72 x 470 ) / 16920

GCD(72, 470) = 33840 / 16920

GCD(72, 470) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 993

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

LCM(2, 993) = 1986

GCD(2, 993) = ( 2 x 993 ) / 1986

GCD(2, 993) = 1986 / 1986

GCD(2, 993) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 521

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

LCM(1, 521) = 521

GCD(1, 521) = ( 1 x 521 ) / 521

GCD(1, 521) = 521 / 521

GCD(1, 521) = 1

GCD of 72, 470, 993, 521 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 433, 677, 526
• GCD of 48, 491, 288, 500
• GCD of 62, 316, 538, 950
• GCD of 61, 188, 120, 270
• GCD of 93, 879, 162, 789

1. What is the GCD of 72, 470, 993, 521?

GCD of 72, 470, 993, 521 is 1

2. Where do I get the detailed procedure to find GCD of 72, 470, 993, 521?

You can find a detailed procedure to find GCD of 72, 470, 993, 521 on our page.

3. How to find GCD of 72, 470, 993, 521 on a calculator?

You can find the GCD of 72, 470, 993, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.