GCD of 321, 523, 990, 738 Calculator

Given Input numbers are 321, 523, 990, 738

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

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (321, 523, 990, 738) = 1.

Given numbers are 321, 523, 990, 738

The list of prime factors of all numbers are

Prime factors of 321 are 3 x 107

Prime factors of 523 are 523

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 738 are 2 x 3 x 3 x 41

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

Given numbers are 321, 523, 990, 738

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

Apply this formula for all numbers.

Step1:

LCM(321, 523) = 167883

GCD(321, 523) = ( 321 x 523 ) / 167883

= 321 / 523

= 321

Step2:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

Step3:

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

= 1 / 738

= 1

So, Greatest Common Divisor of 321, 523, 990, 738 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 116, 315, 747, 599
• GCD of 234, 522, 767, 373
• GCD of 966, 134, 431, 275
• GCD of 266, 107, 929, 244
• GCD of 886, 638, 410, 551

Given numbers are 321, 523, 990, 738
The greatest common divisor of numbers 321, 523, 990, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 523, 990, 738 is 1.

1. What is the GCD of 321, 523, 990, 738?

GCD of given numbers 321, 523, 990, 738 is 1

2. How to calculate the greatest common divisor of 321, 523, 990, 738?

We can find the highest common divisor of 321, 523, 990, 738 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 321, 523, 990, 738 i.e 1.

3. How can I use the GCD of 321, 523, 990, 738Calculator?

Out the numbers 321, 523, 990, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.