GCD of 617, 621, 75, 800 Calculator

Given Input numbers are 617, 621, 75, 800

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

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

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

Greatest Common Divisior

We found the divisors of 617, 621, 75, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 621, 75, 800 is 1.

Therefore, GCD of numbers 617, 621, 75, 800 is 1

Given Input Data is 617, 621, 75, 800

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

Prime Factorization of 617 is 617

Prime Factorization of 621 is 3 x 3 x 3 x 23

Prime Factorization of 75 is 3 x 5 x 5

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

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(617, 621) = 383157

GCD(617, 621) = ( 617 x 621 ) / 383157

GCD(617, 621) = 383157 / 383157

GCD(617, 621) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 617, 621, 75, 800 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 560, 300, 90, 997
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• GCD of 794, 654, 35, 433

1. What is the GCD of 617, 621, 75, 800?

GCD of 617, 621, 75, 800 is 1

2. Where do I get the detailed procedure to find GCD of 617, 621, 75, 800?

You can find a detailed procedure to find GCD of 617, 621, 75, 800 on our page.

3. How to find GCD of 617, 621, 75, 800 on a calculator?

You can find the GCD of 617, 621, 75, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.