GCD of 345, 213, 922, 190 Calculator

Given Input numbers are 345, 213, 922, 190

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 190

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

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

Greatest Common Divisior

We found the divisors of 345, 213, 922, 190 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 213, 922, 190 is 1.

Therefore, GCD of numbers 345, 213, 922, 190 is 1

Given Input Data is 345, 213, 922, 190

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 213 is 3 x 71

Prime Factorization of 922 is 2 x 461

Prime Factorization of 190 is 2 x 5 x 19

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(345, 213) = 24495

GCD(345, 213) = ( 345 x 213 ) / 24495

GCD(345, 213) = 73485 / 24495

GCD(345, 213) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 922

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

LCM(3, 922) = 2766

GCD(3, 922) = ( 3 x 922 ) / 2766

GCD(3, 922) = 2766 / 2766

GCD(3, 922) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 190

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

LCM(1, 190) = 190

GCD(1, 190) = ( 1 x 190 ) / 190

GCD(1, 190) = 190 / 190

GCD(1, 190) = 1

GCD of 345, 213, 922, 190 is 1

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• GCD of 184, 633, 737, 204
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1. What is the GCD of 345, 213, 922, 190?

GCD of 345, 213, 922, 190 is 1

2. Where do I get the detailed procedure to find GCD of 345, 213, 922, 190?

You can find a detailed procedure to find GCD of 345, 213, 922, 190 on our page.

3. How to find GCD of 345, 213, 922, 190 on a calculator?

You can find the GCD of 345, 213, 922, 190 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.