GCD of 993, 684, 321, 648 Calculator

Given Input numbers are 993, 684, 321, 648

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

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 321 :

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

1, 3, 107, 321

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

GCD of numbers is the greatest common divisor

So, the GCD (993, 684, 321, 648) = 3.

Given numbers are 993, 684, 321, 648

The list of prime factors of all numbers are

Prime factors of 993 are 3 x 331

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 321 are 3 x 107

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 993, 684, 321, 648 is 3.

Given numbers are 993, 684, 321, 648

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

Apply this formula for all numbers.

Step1:

LCM(993, 684) = 226404

GCD(993, 684) = ( 993 x 684 ) / 226404

= 993 / 684

= 993

Step2:

LCM(3, 321) = 321

GCD(3, 321) = ( 3 x 321 ) / 321

= 3 / 321

= 3

Step3:

LCM(3, 648) = 648

GCD(3, 648) = ( 3 x 648 ) / 648

= 3 / 648

= 3

So, Greatest Common Divisor of 993, 684, 321, 648 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 345, 586, 280, 561
• GCD of 584, 593, 709, 627
• GCD of 264, 732, 484, 674
• GCD of 773, 624, 666, 968
• GCD of 508, 259, 739, 953

Given numbers are 993, 684, 321, 648
The greatest common divisor of numbers 993, 684, 321, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 684, 321, 648 is 3.

1. What is the GCD of 993, 684, 321, 648?

GCD of given numbers 993, 684, 321, 648 is 3

2. How to calculate the greatest common divisor of 993, 684, 321, 648?

We can find the highest common divisor of 993, 684, 321, 648 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 993, 684, 321, 648 i.e 3.

3. How can I use the GCD of 993, 684, 321, 648Calculator?

Out the numbers 993, 684, 321, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.