GCD of 190, 645, 154, 187 Calculator

Given Input numbers are 190, 645, 154, 187

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 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Greatest Common Divisior

We found the divisors of 190, 645, 154, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 190, 645, 154, 187 is 1.

Therefore, GCD of numbers 190, 645, 154, 187 is 1

Given Input Data is 190, 645, 154, 187

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 645 is 3 x 5 x 43

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 187 is 11 x 17

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, 645) = 24510

GCD(190, 645) = ( 190 x 645 ) / 24510

GCD(190, 645) = 122550 / 24510

GCD(190, 645) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 154

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

LCM(5, 154) = 770

GCD(5, 154) = ( 5 x 154 ) / 770

GCD(5, 154) = 770 / 770

GCD(5, 154) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 187

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

LCM(1, 187) = 187

GCD(1, 187) = ( 1 x 187 ) / 187

GCD(1, 187) = 187 / 187

GCD(1, 187) = 1

GCD of 190, 645, 154, 187 is 1

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1. What is the GCD of 190, 645, 154, 187?

GCD of 190, 645, 154, 187 is 1

2. Where do I get the detailed procedure to find GCD of 190, 645, 154, 187?

You can find a detailed procedure to find GCD of 190, 645, 154, 187 on our page.

3. How to find GCD of 190, 645, 154, 187 on a calculator?

You can find the GCD of 190, 645, 154, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.