GCD of 834, 188, 524, 185 Calculator

Given Input numbers are 834, 188, 524, 185

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

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Greatest Common Divisior

We found the divisors of 834, 188, 524, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 188, 524, 185 is 1.

Therefore, GCD of numbers 834, 188, 524, 185 is 1

Given Input Data is 834, 188, 524, 185

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

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 185 is 5 x 37

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(834, 188) = 78396

GCD(834, 188) = ( 834 x 188 ) / 78396

GCD(834, 188) = 156792 / 78396

GCD(834, 188) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 524

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

LCM(2, 524) = 524

GCD(2, 524) = ( 2 x 524 ) / 524

GCD(2, 524) = 1048 / 524

GCD(2, 524) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 185

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

LCM(2, 185) = 370

GCD(2, 185) = ( 2 x 185 ) / 370

GCD(2, 185) = 370 / 370

GCD(2, 185) = 1

GCD of 834, 188, 524, 185 is 1

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1. What is the GCD of 834, 188, 524, 185?

GCD of 834, 188, 524, 185 is 1

2. Where do I get the detailed procedure to find GCD of 834, 188, 524, 185?

You can find a detailed procedure to find GCD of 834, 188, 524, 185 on our page.

3. How to find GCD of 834, 188, 524, 185 on a calculator?

You can find the GCD of 834, 188, 524, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.