GCD of 409, 800, 87, 715 Calculator

Given Input numbers are 409, 800, 87, 715

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

Divisors of 409

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

1, 409

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 87

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

1, 3, 29, 87

Divisors of 715

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

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

Greatest Common Divisior

We found the divisors of 409, 800, 87, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 409, 800, 87, 715 is 1.

Therefore, GCD of numbers 409, 800, 87, 715 is 1

Given Input Data is 409, 800, 87, 715

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

Prime Factorization of 409 is 409

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 87 is 3 x 29

Prime Factorization of 715 is 5 x 11 x 13

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(409, 800) = 327200

GCD(409, 800) = ( 409 x 800 ) / 327200

GCD(409, 800) = 327200 / 327200

GCD(409, 800) = 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 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1

GCD of 409, 800, 87, 715 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 130, 948, 61, 719
• GCD of 926, 336, 52, 224
• GCD of 932, 392, 55, 787
• GCD of 966, 811, 77, 625
• GCD of 625, 496, 88, 801

1. What is the GCD of 409, 800, 87, 715?

GCD of 409, 800, 87, 715 is 1

2. Where do I get the detailed procedure to find GCD of 409, 800, 87, 715?

You can find a detailed procedure to find GCD of 409, 800, 87, 715 on our page.

3. How to find GCD of 409, 800, 87, 715 on a calculator?

You can find the GCD of 409, 800, 87, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.