GCD of 615, 309, 20, 122 Calculator

Given Input numbers are 615, 309, 20, 122

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

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 122

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

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 615, 309, 20, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 615, 309, 20, 122 is 1.

Therefore, GCD of numbers 615, 309, 20, 122 is 1

Given Input Data is 615, 309, 20, 122

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

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 309 is 3 x 103

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 122 is 2 x 61

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(615, 309) = 63345

GCD(615, 309) = ( 615 x 309 ) / 63345

GCD(615, 309) = 190035 / 63345

GCD(615, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 20

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

LCM(3, 20) = 60

GCD(3, 20) = ( 3 x 20 ) / 60

GCD(3, 20) = 60 / 60

GCD(3, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 122

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

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

GCD(1, 122) = 122 / 122

GCD(1, 122) = 1

GCD of 615, 309, 20, 122 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 564, 572, 49, 931
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• GCD of 718, 163, 37, 757
• GCD of 155, 330, 78, 937

1. What is the GCD of 615, 309, 20, 122?

GCD of 615, 309, 20, 122 is 1

2. Where do I get the detailed procedure to find GCD of 615, 309, 20, 122?

You can find a detailed procedure to find GCD of 615, 309, 20, 122 on our page.

3. How to find GCD of 615, 309, 20, 122 on a calculator?

You can find the GCD of 615, 309, 20, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.