GCD of 717, 365, 69, 920 Calculator

Given Input numbers are 717, 365, 69, 920

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

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 717, 365, 69, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 365, 69, 920 is 1.

Therefore, GCD of numbers 717, 365, 69, 920 is 1

Given Input Data is 717, 365, 69, 920

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

Prime Factorization of 717 is 3 x 239

Prime Factorization of 365 is 5 x 73

Prime Factorization of 69 is 3 x 23

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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(717, 365) = 261705

GCD(717, 365) = ( 717 x 365 ) / 261705

GCD(717, 365) = 261705 / 261705

GCD(717, 365) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

GCD of 717, 365, 69, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 343, 44, 602
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• GCD of 792, 717, 34, 178
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• GCD of 164, 427, 11, 908

1. What is the GCD of 717, 365, 69, 920?

GCD of 717, 365, 69, 920 is 1

2. Where do I get the detailed procedure to find GCD of 717, 365, 69, 920?

You can find a detailed procedure to find GCD of 717, 365, 69, 920 on our page.

3. How to find GCD of 717, 365, 69, 920 on a calculator?

You can find the GCD of 717, 365, 69, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.