GCD of 345, 612, 663, 408 Calculator

Given Input numbers are 345, 612, 663, 408

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

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 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

GCD of numbers is the greatest common divisor

So, the GCD (345, 612, 663, 408) = 3.

Given numbers are 345, 612, 663, 408

The list of prime factors of all numbers are

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 663 are 3 x 13 x 17

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 345, 612, 663, 408 is 3.

Given numbers are 345, 612, 663, 408

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

Apply this formula for all numbers.

Step1:

LCM(345, 612) = 70380

GCD(345, 612) = ( 345 x 612 ) / 70380

= 345 / 612

= 345

Step2:

LCM(3, 663) = 663

GCD(3, 663) = ( 3 x 663 ) / 663

= 3 / 663

= 3

Step3:

LCM(3, 408) = 408

GCD(3, 408) = ( 3 x 408 ) / 408

= 3 / 408

= 3

So, Greatest Common Divisor of 345, 612, 663, 408 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 686, 145, 520, 759
• GCD of 683, 260, 461, 622
• GCD of 619, 686, 738, 793
• GCD of 269, 394, 303, 520
• GCD of 158, 124, 768, 290

Given numbers are 345, 612, 663, 408
The greatest common divisor of numbers 345, 612, 663, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 612, 663, 408 is 3.

1. What is the GCD of 345, 612, 663, 408?

GCD of given numbers 345, 612, 663, 408 is 3

2. How to calculate the greatest common divisor of 345, 612, 663, 408?

We can find the highest common divisor of 345, 612, 663, 408 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 345, 612, 663, 408 i.e 3.

3. How can I use the GCD of 345, 612, 663, 408Calculator?

Out the numbers 345, 612, 663, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.