GCD of 234, 189, 261, 535 Calculator

Given Input numbers are 234, 189, 261, 535

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 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Greatest Common Divisior

We found the divisors of 234, 189, 261, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 189, 261, 535 is 1.

Therefore, GCD of numbers 234, 189, 261, 535 is 1

Given Input Data is 234, 189, 261, 535

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 189 is 3 x 3 x 3 x 7

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 535 is 5 x 107

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, 189) = 4914

GCD(234, 189) = ( 234 x 189 ) / 4914

GCD(234, 189) = 44226 / 4914

GCD(234, 189) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 261

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

LCM(9, 261) = 261

GCD(9, 261) = ( 9 x 261 ) / 261

GCD(9, 261) = 2349 / 261

GCD(9, 261) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 535

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

LCM(9, 535) = 4815

GCD(9, 535) = ( 9 x 535 ) / 4815

GCD(9, 535) = 4815 / 4815

GCD(9, 535) = 1

GCD of 234, 189, 261, 535 is 1

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• GCD of 163, 557, 110, 312
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1. What is the GCD of 234, 189, 261, 535?

GCD of 234, 189, 261, 535 is 1

2. Where do I get the detailed procedure to find GCD of 234, 189, 261, 535?

You can find a detailed procedure to find GCD of 234, 189, 261, 535 on our page.

3. How to find GCD of 234, 189, 261, 535 on a calculator?

You can find the GCD of 234, 189, 261, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.