GCD of 738, 964, 819, 469 Calculator

Given Input numbers are 738, 964, 819, 469

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 738, 964, 819, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 964, 819, 469 is 1.

Therefore, GCD of numbers 738, 964, 819, 469 is 1

Given Input Data is 738, 964, 819, 469

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 469 is 7 x 67

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(738, 964) = 355716

GCD(738, 964) = ( 738 x 964 ) / 355716

GCD(738, 964) = 711432 / 355716

GCD(738, 964) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 819

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

LCM(2, 819) = 1638

GCD(2, 819) = ( 2 x 819 ) / 1638

GCD(2, 819) = 1638 / 1638

GCD(2, 819) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

GCD of 738, 964, 819, 469 is 1

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1. What is the GCD of 738, 964, 819, 469?

GCD of 738, 964, 819, 469 is 1

2. Where do I get the detailed procedure to find GCD of 738, 964, 819, 469?

You can find a detailed procedure to find GCD of 738, 964, 819, 469 on our page.

3. How to find GCD of 738, 964, 819, 469 on a calculator?

You can find the GCD of 738, 964, 819, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.