GCD of 336, 345, 612, 132 Calculator

Given Input numbers are 336, 345, 612, 132

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

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

GCD of numbers is the greatest common divisor

So, the GCD (336, 345, 612, 132) = 3.

Given numbers are 336, 345, 612, 132

The list of prime factors of all numbers are

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 345 are 3 x 5 x 23

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 132 are 2 x 2 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 336, 345, 612, 132 is 3.

Given numbers are 336, 345, 612, 132

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

Apply this formula for all numbers.

Step1:

LCM(336, 345) = 38640

GCD(336, 345) = ( 336 x 345 ) / 38640

= 336 / 345

= 336

Step2:

LCM(3, 612) = 612

GCD(3, 612) = ( 3 x 612 ) / 612

= 3 / 612

= 3

Step3:

LCM(3, 132) = 132

GCD(3, 132) = ( 3 x 132 ) / 132

= 3 / 132

= 3

So, Greatest Common Divisor of 336, 345, 612, 132 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 903, 660, 353, 527
• GCD of 402, 963, 431, 502
• GCD of 200, 761, 611, 668
• GCD of 253, 216, 950, 902
• GCD of 202, 140, 356, 752

Given numbers are 336, 345, 612, 132
The greatest common divisor of numbers 336, 345, 612, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 345, 612, 132 is 3.

1. What is the GCD of 336, 345, 612, 132?

GCD of given numbers 336, 345, 612, 132 is 3

2. How to calculate the greatest common divisor of 336, 345, 612, 132?

We can find the highest common divisor of 336, 345, 612, 132 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 336, 345, 612, 132 i.e 3.

3. How can I use the GCD of 336, 345, 612, 132Calculator?

Out the numbers 336, 345, 612, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.