GCD of 364, 436, 34, 193 Calculator

Given Input numbers are 364, 436, 34, 193

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 193

List of positive integer divisors of 193 that divides 193 without a remainder.

1, 193

Greatest Common Divisior

We found the divisors of 364, 436, 34, 193 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 436, 34, 193 is 1.

Therefore, GCD of numbers 364, 436, 34, 193 is 1

Given Input Data is 364, 436, 34, 193

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 34 is 2 x 17

Prime Factorization of 193 is 193

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(364, 436) = 39676

GCD(364, 436) = ( 364 x 436 ) / 39676

GCD(364, 436) = 158704 / 39676

GCD(364, 436) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 34

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

LCM(4, 34) = 68

GCD(4, 34) = ( 4 x 34 ) / 68

GCD(4, 34) = 136 / 68

GCD(4, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 193

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

LCM(2, 193) = 386

GCD(2, 193) = ( 2 x 193 ) / 386

GCD(2, 193) = 386 / 386

GCD(2, 193) = 1

GCD of 364, 436, 34, 193 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 377, 461, 28, 901
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• GCD of 292, 883, 82, 795

1. What is the GCD of 364, 436, 34, 193?

GCD of 364, 436, 34, 193 is 1

2. Where do I get the detailed procedure to find GCD of 364, 436, 34, 193?

You can find a detailed procedure to find GCD of 364, 436, 34, 193 on our page.

3. How to find GCD of 364, 436, 34, 193 on a calculator?

You can find the GCD of 364, 436, 34, 193 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.