GCD of 312, 201, 993 Calculator

Given Input numbers are 312, 201, 993

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

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

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

Divisors of 993 :

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

1, 3, 331, 993

GCD of numbers is the greatest common divisor

So, the GCD (312, 201, 993) = 3.

Given numbers are 312, 201, 993

The list of prime factors of all numbers are

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

Prime factors of 201 are 3 x 67

Prime factors of 993 are 3 x 331

The highest common occurrence is 3¹

Therefore, GCD of 312, 201, 993 is 3.

Given numbers are 312, 201, 993

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

Apply this formula for all numbers.

Step1:

LCM(312, 201) = 20904

GCD(312, 201) = ( 312 x 201 ) / 20904

= 312 / 201

= 312

Step2:

LCM(3, 993) = 993

GCD(3, 993) = ( 3 x 993 ) / 993

= 3 / 993

= 3

So, Greatest Common Divisor of 312, 201, 993 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 768, 322, 910
• GCD of 762, 485, 548
• GCD of 505, 973, 864
• GCD of 898, 429, 799
• GCD of 632, 363, 566

Given numbers are 312, 201, 993
The greatest common divisor of numbers 312, 201, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 201, 993 is 3.

1. What is the GCD of 312, 201, 993?

GCD of given numbers 312, 201, 993 is 3

2. How to calculate the greatest common divisor of 312, 201, 993?

We can find the highest common divisor of 312, 201, 993 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 312, 201, 993 i.e 3.

3. How can I use the GCD of 312, 201, 993Calculator?

Out the numbers 312, 201, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.