GCD of 15, 122, 742, 646 Calculator

Given Input numbers are 15, 122, 742, 646

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 122

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

1, 2, 61, 122

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Greatest Common Divisior

We found the divisors of 15, 122, 742, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 122, 742, 646 is 1.

Therefore, GCD of numbers 15, 122, 742, 646 is 1

Given Input Data is 15, 122, 742, 646

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 122 is 2 x 61

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 646 is 2 x 17 x 19

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(15, 122) = 1830

GCD(15, 122) = ( 15 x 122 ) / 1830

GCD(15, 122) = 1830 / 1830

GCD(15, 122) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 646

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

LCM(1, 646) = 646

GCD(1, 646) = ( 1 x 646 ) / 646

GCD(1, 646) = 646 / 646

GCD(1, 646) = 1

GCD of 15, 122, 742, 646 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 381, 162, 362
• GCD of 66, 993, 280, 943
• GCD of 53, 698, 787, 193
• GCD of 60, 338, 732, 488
• GCD of 65, 233, 299, 593

1. What is the GCD of 15, 122, 742, 646?

GCD of 15, 122, 742, 646 is 1

2. Where do I get the detailed procedure to find GCD of 15, 122, 742, 646?

You can find a detailed procedure to find GCD of 15, 122, 742, 646 on our page.

3. How to find GCD of 15, 122, 742, 646 on a calculator?

You can find the GCD of 15, 122, 742, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.