GCD of 122, 217, 772, 434 Calculator

Given Input numbers are 122, 217, 772, 434

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 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 122, 217, 772, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 217, 772, 434 is 1.

Therefore, GCD of numbers 122, 217, 772, 434 is 1

Given Input Data is 122, 217, 772, 434

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

Prime Factorization of 122 is 2 x 61

Prime Factorization of 217 is 7 x 31

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 434 is 2 x 7 x 31

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, 217) = 26474

GCD(122, 217) = ( 122 x 217 ) / 26474

GCD(122, 217) = 26474 / 26474

GCD(122, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

GCD of 122, 217, 772, 434 is 1

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1. What is the GCD of 122, 217, 772, 434?

GCD of 122, 217, 772, 434 is 1

2. Where do I get the detailed procedure to find GCD of 122, 217, 772, 434?

You can find a detailed procedure to find GCD of 122, 217, 772, 434 on our page.

3. How to find GCD of 122, 217, 772, 434 on a calculator?

You can find the GCD of 122, 217, 772, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.