GCD of 733, 106, 364, 777 Calculator

Given Input numbers are 733, 106, 364, 777

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

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Greatest Common Divisior

We found the divisors of 733, 106, 364, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 733, 106, 364, 777 is 1.

Therefore, GCD of numbers 733, 106, 364, 777 is 1

Given Input Data is 733, 106, 364, 777

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

Prime Factorization of 733 is 733

Prime Factorization of 106 is 2 x 53

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 777 is 3 x 7 x 37

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(733, 106) = 77698

GCD(733, 106) = ( 733 x 106 ) / 77698

GCD(733, 106) = 77698 / 77698

GCD(733, 106) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 777

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

LCM(1, 777) = 777

GCD(1, 777) = ( 1 x 777 ) / 777

GCD(1, 777) = 777 / 777

GCD(1, 777) = 1

GCD of 733, 106, 364, 777 is 1

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1. What is the GCD of 733, 106, 364, 777?

GCD of 733, 106, 364, 777 is 1

2. Where do I get the detailed procedure to find GCD of 733, 106, 364, 777?

You can find a detailed procedure to find GCD of 733, 106, 364, 777 on our page.

3. How to find GCD of 733, 106, 364, 777 on a calculator?

You can find the GCD of 733, 106, 364, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.