GCD of 21, 706, 937, 898 Calculator

Given Input numbers are 21, 706, 937, 898

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 706

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

1, 2, 353, 706

Divisors of 937

List of positive integer divisors of 937 that divides 937 without a remainder.

1, 937

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 21, 706, 937, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 706, 937, 898 is 1.

Therefore, GCD of numbers 21, 706, 937, 898 is 1

Given Input Data is 21, 706, 937, 898

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 706 is 2 x 353

Prime Factorization of 937 is 937

Prime Factorization of 898 is 2 x 449

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(21, 706) = 14826

GCD(21, 706) = ( 21 x 706 ) / 14826

GCD(21, 706) = 14826 / 14826

GCD(21, 706) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 937

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

LCM(1, 937) = 937

GCD(1, 937) = ( 1 x 937 ) / 937

GCD(1, 937) = 937 / 937

GCD(1, 937) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 898

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

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

GCD(1, 898) = 898 / 898

GCD(1, 898) = 1

GCD of 21, 706, 937, 898 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 643, 481, 504
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• GCD of 26, 944, 392, 389

1. What is the GCD of 21, 706, 937, 898?

GCD of 21, 706, 937, 898 is 1

2. Where do I get the detailed procedure to find GCD of 21, 706, 937, 898?

You can find a detailed procedure to find GCD of 21, 706, 937, 898 on our page.

3. How to find GCD of 21, 706, 937, 898 on a calculator?

You can find the GCD of 21, 706, 937, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.