GCD of 989, 526, 90, 422 Calculator

Given Input numbers are 989, 526, 90, 422

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 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 989, 526, 90, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 526, 90, 422 is 1.

Therefore, GCD of numbers 989, 526, 90, 422 is 1

Given Input Data is 989, 526, 90, 422

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 526 is 2 x 263

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 422 is 2 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(989, 526) = 520214

GCD(989, 526) = ( 989 x 526 ) / 520214

GCD(989, 526) = 520214 / 520214

GCD(989, 526) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 989, 526, 90, 422 is 1

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1. What is the GCD of 989, 526, 90, 422?

GCD of 989, 526, 90, 422 is 1

2. Where do I get the detailed procedure to find GCD of 989, 526, 90, 422?

You can find a detailed procedure to find GCD of 989, 526, 90, 422 on our page.

3. How to find GCD of 989, 526, 90, 422 on a calculator?

You can find the GCD of 989, 526, 90, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.