GCD of 720, 827, 58, 369 Calculator

Given Input numbers are 720, 827, 58, 369

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 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 720, 827, 58, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 827, 58, 369 is 1.

Therefore, GCD of numbers 720, 827, 58, 369 is 1

Given Input Data is 720, 827, 58, 369

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 827 is 827

Prime Factorization of 58 is 2 x 29

Prime Factorization of 369 is 3 x 3 x 41

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, 827) = 595440

GCD(720, 827) = ( 720 x 827 ) / 595440

GCD(720, 827) = 595440 / 595440

GCD(720, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 720, 827, 58, 369 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 568, 388, 76, 185
• GCD of 439, 615, 95, 150
• GCD of 773, 344, 70, 222
• GCD of 446, 692, 15, 671
• GCD of 220, 127, 90, 286

1. What is the GCD of 720, 827, 58, 369?

GCD of 720, 827, 58, 369 is 1

2. Where do I get the detailed procedure to find GCD of 720, 827, 58, 369?

You can find a detailed procedure to find GCD of 720, 827, 58, 369 on our page.

3. How to find GCD of 720, 827, 58, 369 on a calculator?

You can find the GCD of 720, 827, 58, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.