GCD of 74, 819, 289, 964 Calculator

Given Input numbers are 74, 819, 289, 964

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

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 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 964

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

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 74, 819, 289, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 819, 289, 964 is 1.

Therefore, GCD of numbers 74, 819, 289, 964 is 1

Given Input Data is 74, 819, 289, 964

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

Prime Factorization of 74 is 2 x 37

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 964 is 2 x 2 x 241

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(74, 819) = 60606

GCD(74, 819) = ( 74 x 819 ) / 60606

GCD(74, 819) = 60606 / 60606

GCD(74, 819) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 964

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

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

GCD(1, 964) = 964 / 964

GCD(1, 964) = 1

GCD of 74, 819, 289, 964 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 51, 403, 728, 537
• GCD of 60, 107, 764, 283
• GCD of 30, 426, 483, 989
• GCD of 42, 222, 141, 772
• GCD of 73, 115, 641, 937

1. What is the GCD of 74, 819, 289, 964?

GCD of 74, 819, 289, 964 is 1

2. Where do I get the detailed procedure to find GCD of 74, 819, 289, 964?

You can find a detailed procedure to find GCD of 74, 819, 289, 964 on our page.

3. How to find GCD of 74, 819, 289, 964 on a calculator?

You can find the GCD of 74, 819, 289, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.