GCD of 122, 814, 509, 272 Calculator

Given Input numbers are 122, 814, 509, 272

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 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 122, 814, 509, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 814, 509, 272 is 1.

Therefore, GCD of numbers 122, 814, 509, 272 is 1

Given Input Data is 122, 814, 509, 272

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

Prime Factorization of 122 is 2 x 61

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 509 is 509

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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(122, 814) = 49654

GCD(122, 814) = ( 122 x 814 ) / 49654

GCD(122, 814) = 99308 / 49654

GCD(122, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 509

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

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

GCD(2, 509) = 1018 / 1018

GCD(2, 509) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 122, 814, 509, 272 is 1

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1. What is the GCD of 122, 814, 509, 272?

GCD of 122, 814, 509, 272 is 1

2. Where do I get the detailed procedure to find GCD of 122, 814, 509, 272?

You can find a detailed procedure to find GCD of 122, 814, 509, 272 on our page.

3. How to find GCD of 122, 814, 509, 272 on a calculator?

You can find the GCD of 122, 814, 509, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.