GCD of 327, 342, 792, 252 Calculator

Given Input numbers are 327, 342, 792, 252

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

Divisors of 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (327, 342, 792, 252) = 3.

Given numbers are 327, 342, 792, 252

The list of prime factors of all numbers are

Prime factors of 327 are 3 x 109

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 327, 342, 792, 252 is 3.

Given numbers are 327, 342, 792, 252

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

Apply this formula for all numbers.

Step1:

LCM(327, 342) = 37278

GCD(327, 342) = ( 327 x 342 ) / 37278

= 327 / 342

= 327

Step2:

LCM(3, 792) = 792

GCD(3, 792) = ( 3 x 792 ) / 792

= 3 / 792

= 3

Step3:

LCM(3, 252) = 252

GCD(3, 252) = ( 3 x 252 ) / 252

= 3 / 252

= 3

So, Greatest Common Divisor of 327, 342, 792, 252 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 813, 427, 614, 752
• GCD of 832, 290, 524, 202
• GCD of 341, 218, 313, 720
• GCD of 940, 509, 589, 165
• GCD of 954, 433, 260, 720

Given numbers are 327, 342, 792, 252
The greatest common divisor of numbers 327, 342, 792, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 327, 342, 792, 252 is 3.

1. What is the GCD of 327, 342, 792, 252?

GCD of given numbers 327, 342, 792, 252 is 3

2. How to calculate the greatest common divisor of 327, 342, 792, 252?

We can find the highest common divisor of 327, 342, 792, 252 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 327, 342, 792, 252 i.e 3.

3. How can I use the GCD of 327, 342, 792, 252Calculator?

Out the numbers 327, 342, 792, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.