GCD of 122, 244, 580, 610 Calculator

Given Input numbers are 122, 244, 580, 610

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

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 244

List of positive integer divisors of 244 that divides 244 without a remainder.

1, 2, 4, 61, 122, 244

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 610

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

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

Greatest Common Divisior

We found the divisors of 122, 244, 580, 610 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 244, 580, 610 is 2.

Therefore, GCD of numbers 122, 244, 580, 610 is 2

Given Input Data is 122, 244, 580, 610

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

Prime Factorization of 122 is 2 x 61

Prime Factorization of 244 is 2 x 2 x 61

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 610 is 2 x 5 x 61

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(122, 244) = 244

GCD(122, 244) = ( 122 x 244 ) / 244

GCD(122, 244) = 29768 / 244

GCD(122, 244) = 122

Step2:

Here we consider the GCD from the above i.e. 122 as first number and the next as 580

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

LCM(122, 580) = 35380

GCD(122, 580) = ( 122 x 580 ) / 35380

GCD(122, 580) = 70760 / 35380

GCD(122, 580) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 610

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

LCM(2, 610) = 610

GCD(2, 610) = ( 2 x 610 ) / 610

GCD(2, 610) = 1220 / 610

GCD(2, 610) = 2

GCD of 122, 244, 580, 610 is 2

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1. What is the GCD of 122, 244, 580, 610?

GCD of 122, 244, 580, 610 is 2

2. Where do I get the detailed procedure to find GCD of 122, 244, 580, 610?

You can find a detailed procedure to find GCD of 122, 244, 580, 610 on our page.

3. How to find GCD of 122, 244, 580, 610 on a calculator?

You can find the GCD of 122, 244, 580, 610 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.