GCD of 982, 972, 894, 633 Calculator

Given Input numbers are 982, 972, 894, 633

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

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Greatest Common Divisior

We found the divisors of 982, 972, 894, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 972, 894, 633 is 1.

Therefore, GCD of numbers 982, 972, 894, 633 is 1

Given Input Data is 982, 972, 894, 633

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 633 is 3 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(982, 972) = 477252

GCD(982, 972) = ( 982 x 972 ) / 477252

GCD(982, 972) = 954504 / 477252

GCD(982, 972) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 894

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

LCM(2, 894) = 894

GCD(2, 894) = ( 2 x 894 ) / 894

GCD(2, 894) = 1788 / 894

GCD(2, 894) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 633

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

LCM(2, 633) = 1266

GCD(2, 633) = ( 2 x 633 ) / 1266

GCD(2, 633) = 1266 / 1266

GCD(2, 633) = 1

GCD of 982, 972, 894, 633 is 1

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1. What is the GCD of 982, 972, 894, 633?

GCD of 982, 972, 894, 633 is 1

2. Where do I get the detailed procedure to find GCD of 982, 972, 894, 633?

You can find a detailed procedure to find GCD of 982, 972, 894, 633 on our page.

3. How to find GCD of 982, 972, 894, 633 on a calculator?

You can find the GCD of 982, 972, 894, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.