GCD of 605, 290, 861, 169 Calculator

Given Input numbers are 605, 290, 861, 169

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

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 605, 290, 861, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 605, 290, 861, 169 is 1.

Therefore, GCD of numbers 605, 290, 861, 169 is 1

Given Input Data is 605, 290, 861, 169

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

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 169 is 13 x 13

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(605, 290) = 35090

GCD(605, 290) = ( 605 x 290 ) / 35090

GCD(605, 290) = 175450 / 35090

GCD(605, 290) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 861

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

LCM(5, 861) = 4305

GCD(5, 861) = ( 5 x 861 ) / 4305

GCD(5, 861) = 4305 / 4305

GCD(5, 861) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

GCD of 605, 290, 861, 169 is 1

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1. What is the GCD of 605, 290, 861, 169?

GCD of 605, 290, 861, 169 is 1

2. Where do I get the detailed procedure to find GCD of 605, 290, 861, 169?

You can find a detailed procedure to find GCD of 605, 290, 861, 169 on our page.

3. How to find GCD of 605, 290, 861, 169 on a calculator?

You can find the GCD of 605, 290, 861, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.