GCD of 989, 900, 16, 453 Calculator

Given Input numbers are 989, 900, 16, 453

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 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Greatest Common Divisior

We found the divisors of 989, 900, 16, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 900, 16, 453 is 1.

Therefore, GCD of numbers 989, 900, 16, 453 is 1

Given Input Data is 989, 900, 16, 453

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 453 is 3 x 151

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, 900) = 890100

GCD(989, 900) = ( 989 x 900 ) / 890100

GCD(989, 900) = 890100 / 890100

GCD(989, 900) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 453

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

LCM(1, 453) = 453

GCD(1, 453) = ( 1 x 453 ) / 453

GCD(1, 453) = 453 / 453

GCD(1, 453) = 1

GCD of 989, 900, 16, 453 is 1

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• GCD of 670, 689, 49, 838
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1. What is the GCD of 989, 900, 16, 453?

GCD of 989, 900, 16, 453 is 1

2. Where do I get the detailed procedure to find GCD of 989, 900, 16, 453?

You can find a detailed procedure to find GCD of 989, 900, 16, 453 on our page.

3. How to find GCD of 989, 900, 16, 453 on a calculator?

You can find the GCD of 989, 900, 16, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.