GCD of 989, 208, 22, 782 Calculator

Given Input numbers are 989, 208, 22, 782

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 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 989, 208, 22, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 208, 22, 782 is 1.

Therefore, GCD of numbers 989, 208, 22, 782 is 1

Given Input Data is 989, 208, 22, 782

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 22 is 2 x 11

Prime Factorization of 782 is 2 x 17 x 23

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, 208) = 205712

GCD(989, 208) = ( 989 x 208 ) / 205712

GCD(989, 208) = 205712 / 205712

GCD(989, 208) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 989, 208, 22, 782 is 1

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1. What is the GCD of 989, 208, 22, 782?

GCD of 989, 208, 22, 782 is 1

2. Where do I get the detailed procedure to find GCD of 989, 208, 22, 782?

You can find a detailed procedure to find GCD of 989, 208, 22, 782 on our page.

3. How to find GCD of 989, 208, 22, 782 on a calculator?

You can find the GCD of 989, 208, 22, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.