GCD of 747, 216, 31, 420 Calculator

Given Input numbers are 747, 216, 31, 420

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

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

Greatest Common Divisior

We found the divisors of 747, 216, 31, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 216, 31, 420 is 1.

Therefore, GCD of numbers 747, 216, 31, 420 is 1

Given Input Data is 747, 216, 31, 420

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 31 is 31

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

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(747, 216) = 17928

GCD(747, 216) = ( 747 x 216 ) / 17928

GCD(747, 216) = 161352 / 17928

GCD(747, 216) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 31

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

LCM(9, 31) = 279

GCD(9, 31) = ( 9 x 31 ) / 279

GCD(9, 31) = 279 / 279

GCD(9, 31) = 1

Step3:

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

GCD of 747, 216, 31, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 266, 193, 21, 327
• GCD of 858, 105, 10, 274
• GCD of 551, 936, 28, 203
• GCD of 375, 854, 48, 209
• GCD of 703, 105, 73, 744

1. What is the GCD of 747, 216, 31, 420?

GCD of 747, 216, 31, 420 is 1

2. Where do I get the detailed procedure to find GCD of 747, 216, 31, 420?

You can find a detailed procedure to find GCD of 747, 216, 31, 420 on our page.

3. How to find GCD of 747, 216, 31, 420 on a calculator?

You can find the GCD of 747, 216, 31, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.