GCD of 610, 361, 89, 189 Calculator

Given Input numbers are 610, 361, 89, 189

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

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 89

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

1, 89

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 610, 361, 89, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 361, 89, 189 is 1.

Therefore, GCD of numbers 610, 361, 89, 189 is 1

Given Input Data is 610, 361, 89, 189

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

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 361 is 19 x 19

Prime Factorization of 89 is 89

Prime Factorization of 189 is 3 x 3 x 3 x 7

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(610, 361) = 220210

GCD(610, 361) = ( 610 x 361 ) / 220210

GCD(610, 361) = 220210 / 220210

GCD(610, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 610, 361, 89, 189 is 1

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• GCD of 749, 474, 60, 994
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1. What is the GCD of 610, 361, 89, 189?

GCD of 610, 361, 89, 189 is 1

2. Where do I get the detailed procedure to find GCD of 610, 361, 89, 189?

You can find a detailed procedure to find GCD of 610, 361, 89, 189 on our page.

3. How to find GCD of 610, 361, 89, 189 on a calculator?

You can find the GCD of 610, 361, 89, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.