GCD of 380, 934, 523, 966 Calculator

Given Input numbers are 380, 934, 523, 966

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

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 934

List of positive integer divisors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 380, 934, 523, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 934, 523, 966 is 1.

Therefore, GCD of numbers 380, 934, 523, 966 is 1

Given Input Data is 380, 934, 523, 966

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 934 is 2 x 467

Prime Factorization of 523 is 523

Prime Factorization of 966 is 2 x 3 x 7 x 23

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(380, 934) = 177460

GCD(380, 934) = ( 380 x 934 ) / 177460

GCD(380, 934) = 354920 / 177460

GCD(380, 934) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 523

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

LCM(2, 523) = 1046

GCD(2, 523) = ( 2 x 523 ) / 1046

GCD(2, 523) = 1046 / 1046

GCD(2, 523) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

GCD of 380, 934, 523, 966 is 1

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1. What is the GCD of 380, 934, 523, 966?

GCD of 380, 934, 523, 966 is 1

2. Where do I get the detailed procedure to find GCD of 380, 934, 523, 966?

You can find a detailed procedure to find GCD of 380, 934, 523, 966 on our page.

3. How to find GCD of 380, 934, 523, 966 on a calculator?

You can find the GCD of 380, 934, 523, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.