GCD of 322, 736, 315, 789 Calculator

Given Input numbers are 322, 736, 315, 789

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

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

GCD of numbers is the greatest common divisor

So, the GCD (322, 736, 315, 789) = 1.

Given numbers are 322, 736, 315, 789

The list of prime factors of all numbers are

Prime factors of 322 are 2 x 7 x 23

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 789 are 3 x 263

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

Given numbers are 322, 736, 315, 789

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

Apply this formula for all numbers.

Step1:

LCM(322, 736) = 5152

GCD(322, 736) = ( 322 x 736 ) / 5152

= 322 / 736

= 322

Step2:

LCM(46, 315) = 14490

GCD(46, 315) = ( 46 x 315 ) / 14490

= 46 / 315

= 46

Step3:

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

= 1 / 789

= 1

So, Greatest Common Divisor of 322, 736, 315, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 244, 338, 428, 266
• GCD of 742, 953, 863, 262
• GCD of 656, 707, 285, 605
• GCD of 441, 806, 568, 426
• GCD of 970, 384, 887, 881

Given numbers are 322, 736, 315, 789
The greatest common divisor of numbers 322, 736, 315, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 736, 315, 789 is 1.

1. What is the GCD of 322, 736, 315, 789?

GCD of given numbers 322, 736, 315, 789 is 1

2. How to calculate the greatest common divisor of 322, 736, 315, 789?

We can find the highest common divisor of 322, 736, 315, 789 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 322, 736, 315, 789 i.e 1.

3. How can I use the GCD of 322, 736, 315, 789Calculator?

Out the numbers 322, 736, 315, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.