GCD of 717, 183, 646, 400 Calculator

Given Input numbers are 717, 183, 646, 400

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 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

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

Greatest Common Divisior

We found the divisors of 717, 183, 646, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 183, 646, 400 is 1.

Therefore, GCD of numbers 717, 183, 646, 400 is 1

Given Input Data is 717, 183, 646, 400

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

Prime Factorization of 717 is 3 x 239

Prime Factorization of 183 is 3 x 61

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 400 is 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(717, 183) = 43737

GCD(717, 183) = ( 717 x 183 ) / 43737

GCD(717, 183) = 131211 / 43737

GCD(717, 183) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 646

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

LCM(3, 646) = 1938

GCD(3, 646) = ( 3 x 646 ) / 1938

GCD(3, 646) = 1938 / 1938

GCD(3, 646) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 717, 183, 646, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 880, 878, 306, 295
• GCD of 249, 763, 389, 778
• GCD of 224, 623, 346, 541
• GCD of 400, 109, 623, 999
• GCD of 547, 703, 540, 633

1. What is the GCD of 717, 183, 646, 400?

GCD of 717, 183, 646, 400 is 1

2. Where do I get the detailed procedure to find GCD of 717, 183, 646, 400?

You can find a detailed procedure to find GCD of 717, 183, 646, 400 on our page.

3. How to find GCD of 717, 183, 646, 400 on a calculator?

You can find the GCD of 717, 183, 646, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.