GCD of 778, 728, 164, 973 Calculator

Given Input numbers are 778, 728, 164, 973

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

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Greatest Common Divisior

We found the divisors of 778, 728, 164, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 728, 164, 973 is 1.

Therefore, GCD of numbers 778, 728, 164, 973 is 1

Given Input Data is 778, 728, 164, 973

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 973 is 7 x 139

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(778, 728) = 283192

GCD(778, 728) = ( 778 x 728 ) / 283192

GCD(778, 728) = 566384 / 283192

GCD(778, 728) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 164

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

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

GCD(2, 164) = 328 / 164

GCD(2, 164) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 973

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

LCM(2, 973) = 1946

GCD(2, 973) = ( 2 x 973 ) / 1946

GCD(2, 973) = 1946 / 1946

GCD(2, 973) = 1

GCD of 778, 728, 164, 973 is 1

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1. What is the GCD of 778, 728, 164, 973?

GCD of 778, 728, 164, 973 is 1

2. Where do I get the detailed procedure to find GCD of 778, 728, 164, 973?

You can find a detailed procedure to find GCD of 778, 728, 164, 973 on our page.

3. How to find GCD of 778, 728, 164, 973 on a calculator?

You can find the GCD of 778, 728, 164, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.