GCD of 715, 909, 20, 365 Calculator

Given Input numbers are 715, 909, 20, 365

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

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 365

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

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 715, 909, 20, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 909, 20, 365 is 1.

Therefore, GCD of numbers 715, 909, 20, 365 is 1

Given Input Data is 715, 909, 20, 365

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

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 365 is 5 x 73

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(715, 909) = 649935

GCD(715, 909) = ( 715 x 909 ) / 649935

GCD(715, 909) = 649935 / 649935

GCD(715, 909) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

GCD of 715, 909, 20, 365 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 357, 689, 20, 368
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• GCD of 891, 707, 44, 869
• GCD of 697, 676, 91, 769

1. What is the GCD of 715, 909, 20, 365?

GCD of 715, 909, 20, 365 is 1

2. Where do I get the detailed procedure to find GCD of 715, 909, 20, 365?

You can find a detailed procedure to find GCD of 715, 909, 20, 365 on our page.

3. How to find GCD of 715, 909, 20, 365 on a calculator?

You can find the GCD of 715, 909, 20, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.