GCD of 122, 207, 724, 823 Calculator

Given Input numbers are 122, 207, 724, 823

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 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 122, 207, 724, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 207, 724, 823 is 1.

Therefore, GCD of numbers 122, 207, 724, 823 is 1

Given Input Data is 122, 207, 724, 823

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

Prime Factorization of 122 is 2 x 61

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 823 is 823

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, 207) = 25254

GCD(122, 207) = ( 122 x 207 ) / 25254

GCD(122, 207) = 25254 / 25254

GCD(122, 207) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

GCD of 122, 207, 724, 823 is 1

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1. What is the GCD of 122, 207, 724, 823?

GCD of 122, 207, 724, 823 is 1

2. Where do I get the detailed procedure to find GCD of 122, 207, 724, 823?

You can find a detailed procedure to find GCD of 122, 207, 724, 823 on our page.

3. How to find GCD of 122, 207, 724, 823 on a calculator?

You can find the GCD of 122, 207, 724, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.