GCD of 369, 894, 946, 193 Calculator

Given Input numbers are 369, 894, 946, 193

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

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 369, 894, 946, 193 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 894, 946, 193 is 1.

Therefore, GCD of numbers 369, 894, 946, 193 is 1

Given Input Data is 369, 894, 946, 193

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 946 is 2 x 11 x 43

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(369, 894) = 109962

GCD(369, 894) = ( 369 x 894 ) / 109962

GCD(369, 894) = 329886 / 109962

GCD(369, 894) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 946

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

LCM(3, 946) = 2838

GCD(3, 946) = ( 3 x 946 ) / 2838

GCD(3, 946) = 2838 / 2838

GCD(3, 946) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 193

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

LCM(1, 193) = 193

GCD(1, 193) = ( 1 x 193 ) / 193

GCD(1, 193) = 193 / 193

GCD(1, 193) = 1

GCD of 369, 894, 946, 193 is 1

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1. What is the GCD of 369, 894, 946, 193?

GCD of 369, 894, 946, 193 is 1

2. Where do I get the detailed procedure to find GCD of 369, 894, 946, 193?

You can find a detailed procedure to find GCD of 369, 894, 946, 193 on our page.

3. How to find GCD of 369, 894, 946, 193 on a calculator?

You can find the GCD of 369, 894, 946, 193 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.