GCD of 800, 407, 45, 207 Calculator

Given Input numbers are 800, 407, 45, 207

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

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 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 800, 407, 45, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 407, 45, 207 is 1.

Therefore, GCD of numbers 800, 407, 45, 207 is 1

Given Input Data is 800, 407, 45, 207

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

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 207 is 3 x 3 x 23

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(800, 407) = 325600

GCD(800, 407) = ( 800 x 407 ) / 325600

GCD(800, 407) = 325600 / 325600

GCD(800, 407) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 207

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

LCM(1, 207) = 207

GCD(1, 207) = ( 1 x 207 ) / 207

GCD(1, 207) = 207 / 207

GCD(1, 207) = 1

GCD of 800, 407, 45, 207 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 762, 43, 228
• GCD of 220, 389, 48, 614
• GCD of 432, 769, 67, 445
• GCD of 944, 459, 50, 479
• GCD of 294, 294, 68, 277

1. What is the GCD of 800, 407, 45, 207?

GCD of 800, 407, 45, 207 is 1

2. Where do I get the detailed procedure to find GCD of 800, 407, 45, 207?

You can find a detailed procedure to find GCD of 800, 407, 45, 207 on our page.

3. How to find GCD of 800, 407, 45, 207 on a calculator?

You can find the GCD of 800, 407, 45, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.