GCD of 317, 820, 87, 409 Calculator

Given Input numbers are 317, 820, 87, 409

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

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Greatest Common Divisior

We found the divisors of 317, 820, 87, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 820, 87, 409 is 1.

Therefore, GCD of numbers 317, 820, 87, 409 is 1

Given Input Data is 317, 820, 87, 409

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

Prime Factorization of 317 is 317

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 87 is 3 x 29

Prime Factorization of 409 is 409

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(317, 820) = 259940

GCD(317, 820) = ( 317 x 820 ) / 259940

GCD(317, 820) = 259940 / 259940

GCD(317, 820) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

GCD of 317, 820, 87, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 689, 29, 185
• GCD of 224, 734, 18, 608
• GCD of 891, 555, 76, 988
• GCD of 793, 778, 35, 408
• GCD of 605, 775, 16, 487

1. What is the GCD of 317, 820, 87, 409?

GCD of 317, 820, 87, 409 is 1

2. Where do I get the detailed procedure to find GCD of 317, 820, 87, 409?

You can find a detailed procedure to find GCD of 317, 820, 87, 409 on our page.

3. How to find GCD of 317, 820, 87, 409 on a calculator?

You can find the GCD of 317, 820, 87, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.