GCD of 706, 894, 20, 983 Calculator

Given Input numbers are 706, 894, 20, 983

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Greatest Common Divisior

We found the divisors of 706, 894, 20, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 894, 20, 983 is 1.

Therefore, GCD of numbers 706, 894, 20, 983 is 1

Given Input Data is 706, 894, 20, 983

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 983 is 983

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(706, 894) = 315582

GCD(706, 894) = ( 706 x 894 ) / 315582

GCD(706, 894) = 631164 / 315582

GCD(706, 894) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 983

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

LCM(2, 983) = 1966

GCD(2, 983) = ( 2 x 983 ) / 1966

GCD(2, 983) = 1966 / 1966

GCD(2, 983) = 1

GCD of 706, 894, 20, 983 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 335, 887, 85, 996
• GCD of 610, 172, 94, 212
• GCD of 910, 983, 90, 407
• GCD of 352, 565, 41, 823
• GCD of 426, 598, 61, 959

1. What is the GCD of 706, 894, 20, 983?

GCD of 706, 894, 20, 983 is 1

2. Where do I get the detailed procedure to find GCD of 706, 894, 20, 983?

You can find a detailed procedure to find GCD of 706, 894, 20, 983 on our page.

3. How to find GCD of 706, 894, 20, 983 on a calculator?

You can find the GCD of 706, 894, 20, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.