GCD of 802, 516, 947, 422 Calculator

Given Input numbers are 802, 516, 947, 422

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 802, 516, 947, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 516, 947, 422 is 1.

Therefore, GCD of numbers 802, 516, 947, 422 is 1

Given Input Data is 802, 516, 947, 422

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 947 is 947

Prime Factorization of 422 is 2 x 211

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(802, 516) = 206916

GCD(802, 516) = ( 802 x 516 ) / 206916

GCD(802, 516) = 413832 / 206916

GCD(802, 516) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 947

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

LCM(2, 947) = 1894

GCD(2, 947) = ( 2 x 947 ) / 1894

GCD(2, 947) = 1894 / 1894

GCD(2, 947) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 802, 516, 947, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 817, 232, 283, 160
• GCD of 503, 647, 314, 209
• GCD of 849, 128, 441, 227
• GCD of 926, 260, 781, 467
• GCD of 181, 832, 196, 927

1. What is the GCD of 802, 516, 947, 422?

GCD of 802, 516, 947, 422 is 1

2. Where do I get the detailed procedure to find GCD of 802, 516, 947, 422?

You can find a detailed procedure to find GCD of 802, 516, 947, 422 on our page.

3. How to find GCD of 802, 516, 947, 422 on a calculator?

You can find the GCD of 802, 516, 947, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.