GCD of 234, 361, 68, 969 Calculator

Given Input numbers are 234, 361, 68, 969

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

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 234, 361, 68, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 361, 68, 969 is 1.

Therefore, GCD of numbers 234, 361, 68, 969 is 1

Given Input Data is 234, 361, 68, 969

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

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 361 is 19 x 19

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 969 is 3 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(234, 361) = 84474

GCD(234, 361) = ( 234 x 361 ) / 84474

GCD(234, 361) = 84474 / 84474

GCD(234, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

GCD of 234, 361, 68, 969 is 1

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• GCD of 286, 204, 73, 961
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• GCD of 366, 970, 21, 295

1. What is the GCD of 234, 361, 68, 969?

GCD of 234, 361, 68, 969 is 1

2. Where do I get the detailed procedure to find GCD of 234, 361, 68, 969?

You can find a detailed procedure to find GCD of 234, 361, 68, 969 on our page.

3. How to find GCD of 234, 361, 68, 969 on a calculator?

You can find the GCD of 234, 361, 68, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.