GCD of 215, 360, 637, 744 Calculator

Given Input numbers are 215, 360, 637, 744

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

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Greatest Common Divisior

We found the divisors of 215, 360, 637, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 215, 360, 637, 744 is 1.

Therefore, GCD of numbers 215, 360, 637, 744 is 1

Given Input Data is 215, 360, 637, 744

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

Prime Factorization of 215 is 5 x 43

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 637 is 7 x 7 x 13

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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(215, 360) = 15480

GCD(215, 360) = ( 215 x 360 ) / 15480

GCD(215, 360) = 77400 / 15480

GCD(215, 360) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 637

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

LCM(5, 637) = 3185

GCD(5, 637) = ( 5 x 637 ) / 3185

GCD(5, 637) = 3185 / 3185

GCD(5, 637) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

GCD of 215, 360, 637, 744 is 1

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1. What is the GCD of 215, 360, 637, 744?

GCD of 215, 360, 637, 744 is 1

2. Where do I get the detailed procedure to find GCD of 215, 360, 637, 744?

You can find a detailed procedure to find GCD of 215, 360, 637, 744 on our page.

3. How to find GCD of 215, 360, 637, 744 on a calculator?

You can find the GCD of 215, 360, 637, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.