GCD of 531, 993, 468, 312 Calculator

Given Input numbers are 531, 993, 468, 312

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

Divisors of 531 :

The positive integer divisors of 531 that completely divides 531 are.

1, 3, 9, 59, 177, 531

Divisors of 993 :

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

1, 3, 331, 993

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (531, 993, 468, 312) = 3.

Given numbers are 531, 993, 468, 312

The list of prime factors of all numbers are

Prime factors of 531 are 3 x 3 x 59

Prime factors of 993 are 3 x 331

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 531, 993, 468, 312 is 3.

Given numbers are 531, 993, 468, 312

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

Apply this formula for all numbers.

Step1:

LCM(531, 993) = 175761

GCD(531, 993) = ( 531 x 993 ) / 175761

= 531 / 993

= 531

Step2:

LCM(3, 468) = 468

GCD(3, 468) = ( 3 x 468 ) / 468

= 3 / 468

= 3

Step3:

LCM(3, 312) = 312

GCD(3, 312) = ( 3 x 312 ) / 312

= 3 / 312

= 3

So, Greatest Common Divisor of 531, 993, 468, 312 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 937, 555, 458, 264
• GCD of 616, 198, 603, 715
• GCD of 671, 119, 430, 911
• GCD of 860, 589, 451, 717
• GCD of 441, 345, 955, 884

Given numbers are 531, 993, 468, 312
The greatest common divisor of numbers 531, 993, 468, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 531, 993, 468, 312 is 3.

1. What is the GCD of 531, 993, 468, 312?

GCD of given numbers 531, 993, 468, 312 is 3

2. How to calculate the greatest common divisor of 531, 993, 468, 312?

We can find the highest common divisor of 531, 993, 468, 312 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 531, 993, 468, 312 i.e 3.

3. How can I use the GCD of 531, 993, 468, 312Calculator?

Out the numbers 531, 993, 468, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.