GCD of 989, 224, 522, 123 Calculator

Given Input numbers are 989, 224, 522, 123

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 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 989, 224, 522, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 224, 522, 123 is 1.

Therefore, GCD of numbers 989, 224, 522, 123 is 1

Given Input Data is 989, 224, 522, 123

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 123 is 3 x 41

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, 224) = 221536

GCD(989, 224) = ( 989 x 224 ) / 221536

GCD(989, 224) = 221536 / 221536

GCD(989, 224) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 522

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

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

GCD(1, 522) = 522 / 522

GCD(1, 522) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 989, 224, 522, 123 is 1

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1. What is the GCD of 989, 224, 522, 123?

GCD of 989, 224, 522, 123 is 1

2. Where do I get the detailed procedure to find GCD of 989, 224, 522, 123?

You can find a detailed procedure to find GCD of 989, 224, 522, 123 on our page.

3. How to find GCD of 989, 224, 522, 123 on a calculator?

You can find the GCD of 989, 224, 522, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.