GCD of 89, 417, 198, 654 Calculator

Given Input numbers are 89, 417, 198, 654

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

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 89, 417, 198, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 417, 198, 654 is 1.

Therefore, GCD of numbers 89, 417, 198, 654 is 1

Given Input Data is 89, 417, 198, 654

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

Prime Factorization of 89 is 89

Prime Factorization of 417 is 3 x 139

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 654 is 2 x 3 x 109

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(89, 417) = 37113

GCD(89, 417) = ( 89 x 417 ) / 37113

GCD(89, 417) = 37113 / 37113

GCD(89, 417) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 89, 417, 198, 654 is 1

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1. What is the GCD of 89, 417, 198, 654?

GCD of 89, 417, 198, 654 is 1

2. Where do I get the detailed procedure to find GCD of 89, 417, 198, 654?

You can find a detailed procedure to find GCD of 89, 417, 198, 654 on our page.

3. How to find GCD of 89, 417, 198, 654 on a calculator?

You can find the GCD of 89, 417, 198, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.