GCD of 989, 785, 21, 916 Calculator

Given Input numbers are 989, 785, 21, 916

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

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 21

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

1, 3, 7, 21

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 989, 785, 21, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 785, 21, 916 is 1.

Therefore, GCD of numbers 989, 785, 21, 916 is 1

Given Input Data is 989, 785, 21, 916

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 785 is 5 x 157

Prime Factorization of 21 is 3 x 7

Prime Factorization of 916 is 2 x 2 x 229

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(989, 785) = 776365

GCD(989, 785) = ( 989 x 785 ) / 776365

GCD(989, 785) = 776365 / 776365

GCD(989, 785) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 989, 785, 21, 916 is 1

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1. What is the GCD of 989, 785, 21, 916?

GCD of 989, 785, 21, 916 is 1

2. Where do I get the detailed procedure to find GCD of 989, 785, 21, 916?

You can find a detailed procedure to find GCD of 989, 785, 21, 916 on our page.

3. How to find GCD of 989, 785, 21, 916 on a calculator?

You can find the GCD of 989, 785, 21, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.