GCD of 189, 624, 61, 235 Calculator

Given Input numbers are 189, 624, 61, 235

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

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 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Greatest Common Divisior

We found the divisors of 189, 624, 61, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 624, 61, 235 is 1.

Therefore, GCD of numbers 189, 624, 61, 235 is 1

Given Input Data is 189, 624, 61, 235

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 61 is 61

Prime Factorization of 235 is 5 x 47

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(189, 624) = 39312

GCD(189, 624) = ( 189 x 624 ) / 39312

GCD(189, 624) = 117936 / 39312

GCD(189, 624) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 61

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

LCM(3, 61) = 183

GCD(3, 61) = ( 3 x 61 ) / 183

GCD(3, 61) = 183 / 183

GCD(3, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 235

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

LCM(1, 235) = 235

GCD(1, 235) = ( 1 x 235 ) / 235

GCD(1, 235) = 235 / 235

GCD(1, 235) = 1

GCD of 189, 624, 61, 235 is 1

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• GCD of 851, 279, 34, 838
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1. What is the GCD of 189, 624, 61, 235?

GCD of 189, 624, 61, 235 is 1

2. Where do I get the detailed procedure to find GCD of 189, 624, 61, 235?

You can find a detailed procedure to find GCD of 189, 624, 61, 235 on our page.

3. How to find GCD of 189, 624, 61, 235 on a calculator?

You can find the GCD of 189, 624, 61, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.