GCD of 720, 559, 74, 215 Calculator

Given Input numbers are 720, 559, 74, 215

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

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 215

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

1, 5, 43, 215

Greatest Common Divisior

We found the divisors of 720, 559, 74, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 559, 74, 215 is 1.

Therefore, GCD of numbers 720, 559, 74, 215 is 1

Given Input Data is 720, 559, 74, 215

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

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 559 is 13 x 43

Prime Factorization of 74 is 2 x 37

Prime Factorization of 215 is 5 x 43

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(720, 559) = 402480

GCD(720, 559) = ( 720 x 559 ) / 402480

GCD(720, 559) = 402480 / 402480

GCD(720, 559) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 215

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

LCM(1, 215) = 215

GCD(1, 215) = ( 1 x 215 ) / 215

GCD(1, 215) = 215 / 215

GCD(1, 215) = 1

GCD of 720, 559, 74, 215 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 385, 415, 89, 850
• GCD of 566, 632, 22, 421
• GCD of 858, 866, 92, 796
• GCD of 835, 358, 51, 617
• GCD of 552, 364, 18, 301

1. What is the GCD of 720, 559, 74, 215?

GCD of 720, 559, 74, 215 is 1

2. Where do I get the detailed procedure to find GCD of 720, 559, 74, 215?

You can find a detailed procedure to find GCD of 720, 559, 74, 215 on our page.

3. How to find GCD of 720, 559, 74, 215 on a calculator?

You can find the GCD of 720, 559, 74, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.