GCD of 242, 430, 23, 965 Calculator

Given Input numbers are 242, 430, 23, 965

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

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Greatest Common Divisior

We found the divisors of 242, 430, 23, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 430, 23, 965 is 1.

Therefore, GCD of numbers 242, 430, 23, 965 is 1

Given Input Data is 242, 430, 23, 965

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

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 23 is 23

Prime Factorization of 965 is 5 x 193

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(242, 430) = 52030

GCD(242, 430) = ( 242 x 430 ) / 52030

GCD(242, 430) = 104060 / 52030

GCD(242, 430) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 23

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

LCM(2, 23) = 46

GCD(2, 23) = ( 2 x 23 ) / 46

GCD(2, 23) = 46 / 46

GCD(2, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 965

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

LCM(1, 965) = 965

GCD(1, 965) = ( 1 x 965 ) / 965

GCD(1, 965) = 965 / 965

GCD(1, 965) = 1

GCD of 242, 430, 23, 965 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 906, 15, 400
• GCD of 294, 459, 68, 634
• GCD of 939, 950, 29, 927
• GCD of 777, 493, 22, 567
• GCD of 442, 148, 33, 436

1. What is the GCD of 242, 430, 23, 965?

GCD of 242, 430, 23, 965 is 1

2. Where do I get the detailed procedure to find GCD of 242, 430, 23, 965?

You can find a detailed procedure to find GCD of 242, 430, 23, 965 on our page.

3. How to find GCD of 242, 430, 23, 965 on a calculator?

You can find the GCD of 242, 430, 23, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.