GCD of 456, 326, 69, 800 Calculator

Given Input numbers are 456, 326, 69, 800

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

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 456, 326, 69, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 326, 69, 800 is 1.

Therefore, GCD of numbers 456, 326, 69, 800 is 1

Given Input Data is 456, 326, 69, 800

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 326 is 2 x 163

Prime Factorization of 69 is 3 x 23

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(456, 326) = 74328

GCD(456, 326) = ( 456 x 326 ) / 74328

GCD(456, 326) = 148656 / 74328

GCD(456, 326) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 69

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

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

GCD(2, 69) = 138 / 138

GCD(2, 69) = 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 456, 326, 69, 800 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 478, 52, 233
• GCD of 228, 111, 90, 392
• GCD of 747, 730, 76, 206
• GCD of 235, 477, 10, 394
• GCD of 128, 876, 57, 697

1. What is the GCD of 456, 326, 69, 800?

GCD of 456, 326, 69, 800 is 1

2. Where do I get the detailed procedure to find GCD of 456, 326, 69, 800?

You can find a detailed procedure to find GCD of 456, 326, 69, 800 on our page.

3. How to find GCD of 456, 326, 69, 800 on a calculator?

You can find the GCD of 456, 326, 69, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.