GCD of 800, 944, 84, 653 Calculator

Given Input numbers are 800, 944, 84, 653

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 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 800, 944, 84, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 944, 84, 653 is 1.

Therefore, GCD of numbers 800, 944, 84, 653 is 1

Given Input Data is 800, 944, 84, 653

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 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 653 is 653

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, 944) = 47200

GCD(800, 944) = ( 800 x 944 ) / 47200

GCD(800, 944) = 755200 / 47200

GCD(800, 944) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 84

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

LCM(16, 84) = 336

GCD(16, 84) = ( 16 x 84 ) / 336

GCD(16, 84) = 1344 / 336

GCD(16, 84) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 653

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

LCM(4, 653) = 2612

GCD(4, 653) = ( 4 x 653 ) / 2612

GCD(4, 653) = 2612 / 2612

GCD(4, 653) = 1

GCD of 800, 944, 84, 653 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 748, 44, 927
• GCD of 836, 677, 59, 518
• GCD of 726, 460, 26, 809
• GCD of 829, 960, 44, 446
• GCD of 729, 477, 52, 539

1. What is the GCD of 800, 944, 84, 653?

GCD of 800, 944, 84, 653 is 1

2. Where do I get the detailed procedure to find GCD of 800, 944, 84, 653?

You can find a detailed procedure to find GCD of 800, 944, 84, 653 on our page.

3. How to find GCD of 800, 944, 84, 653 on a calculator?

You can find the GCD of 800, 944, 84, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.