GCD of 819, 999, 772, 742 Calculator

Given Input numbers are 819, 999, 772, 742

In the factoring method, we have to find the divisors of all numbers

Divisors of 819 :

The positive integer divisors of 819 that completely divides 819 are.

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

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (819, 999, 772, 742) = 1.

Given numbers are 819, 999, 772, 742

The list of prime factors of all numbers are

Prime factors of 819 are 3 x 3 x 7 x 13

Prime factors of 999 are 3 x 3 x 3 x 37

Prime factors of 772 are 2 x 2 x 193

Prime factors of 742 are 2 x 7 x 53

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 819, 999, 772, 742

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(819, 999) = 90909

GCD(819, 999) = ( 819 x 999 ) / 90909

= 819 / 999

= 819

Step2:

LCM(9, 772) = 6948

GCD(9, 772) = ( 9 x 772 ) / 6948

= 9 / 772

= 9

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 819, 999, 772, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 932, 618, 410, 805
• GCD of 151, 810, 102, 874
• GCD of 190, 274, 327, 713
• GCD of 422, 470, 144, 109
• GCD of 454, 543, 203, 733

Given numbers are 819, 999, 772, 742
The greatest common divisor of numbers 819, 999, 772, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 819, 999, 772, 742 is 1.

1. What is the GCD of 819, 999, 772, 742?

GCD of given numbers 819, 999, 772, 742 is 1

2. How to calculate the greatest common divisor of 819, 999, 772, 742?

We can find the highest common divisor of 819, 999, 772, 742 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 819, 999, 772, 742 i.e 1.

3. How can I use the GCD of 819, 999, 772, 742Calculator?

Out the numbers 819, 999, 772, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.