GCD of 772, 500, 44, 967 Calculator

Given Input numbers are 772, 500, 44, 967

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

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Greatest Common Divisior

We found the divisors of 772, 500, 44, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 500, 44, 967 is 1.

Therefore, GCD of numbers 772, 500, 44, 967 is 1

Given Input Data is 772, 500, 44, 967

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

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 967 is 967

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(772, 500) = 96500

GCD(772, 500) = ( 772 x 500 ) / 96500

GCD(772, 500) = 386000 / 96500

GCD(772, 500) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 44

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

LCM(4, 44) = 44

GCD(4, 44) = ( 4 x 44 ) / 44

GCD(4, 44) = 176 / 44

GCD(4, 44) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 967

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

LCM(4, 967) = 3868

GCD(4, 967) = ( 4 x 967 ) / 3868

GCD(4, 967) = 3868 / 3868

GCD(4, 967) = 1

GCD of 772, 500, 44, 967 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 109, 580, 78, 444
• GCD of 202, 252, 42, 432
• GCD of 514, 704, 34, 338
• GCD of 458, 258, 62, 205
• GCD of 927, 469, 79, 388

1. What is the GCD of 772, 500, 44, 967?

GCD of 772, 500, 44, 967 is 1

2. Where do I get the detailed procedure to find GCD of 772, 500, 44, 967?

You can find a detailed procedure to find GCD of 772, 500, 44, 967 on our page.

3. How to find GCD of 772, 500, 44, 967 on a calculator?

You can find the GCD of 772, 500, 44, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.