GCD of 161, 829, 785, 234 Calculator

Given Input numbers are 161, 829, 785, 234

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

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

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

Greatest Common Divisior

We found the divisors of 161, 829, 785, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 161, 829, 785, 234 is 1.

Therefore, GCD of numbers 161, 829, 785, 234 is 1

Given Input Data is 161, 829, 785, 234

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

Prime Factorization of 161 is 7 x 23

Prime Factorization of 829 is 829

Prime Factorization of 785 is 5 x 157

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

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(161, 829) = 133469

GCD(161, 829) = ( 161 x 829 ) / 133469

GCD(161, 829) = 133469 / 133469

GCD(161, 829) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 785

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

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

GCD(1, 785) = 785 / 785

GCD(1, 785) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 234

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

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

GCD(1, 234) = 234 / 234

GCD(1, 234) = 1

GCD of 161, 829, 785, 234 is 1

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1. What is the GCD of 161, 829, 785, 234?

GCD of 161, 829, 785, 234 is 1

2. Where do I get the detailed procedure to find GCD of 161, 829, 785, 234?

You can find a detailed procedure to find GCD of 161, 829, 785, 234 on our page.

3. How to find GCD of 161, 829, 785, 234 on a calculator?

You can find the GCD of 161, 829, 785, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.