GCD of 190, 136, 24, 825 Calculator

Given Input numbers are 190, 136, 24, 825

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

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 190, 136, 24, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 190, 136, 24, 825 is 1.

Therefore, GCD of numbers 190, 136, 24, 825 is 1

Given Input Data is 190, 136, 24, 825

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

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 825 is 3 x 5 x 5 x 11

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(190, 136) = 12920

GCD(190, 136) = ( 190 x 136 ) / 12920

GCD(190, 136) = 25840 / 12920

GCD(190, 136) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 825

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

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

GCD(2, 825) = 1650 / 1650

GCD(2, 825) = 1

GCD of 190, 136, 24, 825 is 1

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1. What is the GCD of 190, 136, 24, 825?

GCD of 190, 136, 24, 825 is 1

2. Where do I get the detailed procedure to find GCD of 190, 136, 24, 825?

You can find a detailed procedure to find GCD of 190, 136, 24, 825 on our page.

3. How to find GCD of 190, 136, 24, 825 on a calculator?

You can find the GCD of 190, 136, 24, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.