GCD of 432, 614, 656, 346 Calculator

Given Input numbers are 432, 614, 656, 346

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

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

GCD of numbers is the greatest common divisor

So, the GCD (432, 614, 656, 346) = 2.

Given numbers are 432, 614, 656, 346

The list of prime factors of all numbers are

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 614 are 2 x 307

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 346 are 2 x 173

The highest common occurrence is 2¹

Therefore, GCD of 432, 614, 656, 346 is 2.

Given numbers are 432, 614, 656, 346

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

Apply this formula for all numbers.

Step1:

LCM(432, 614) = 132624

GCD(432, 614) = ( 432 x 614 ) / 132624

= 432 / 614

= 432

Step2:

LCM(2, 656) = 656

GCD(2, 656) = ( 2 x 656 ) / 656

= 2 / 656

= 2

Step3:

LCM(2, 346) = 346

GCD(2, 346) = ( 2 x 346 ) / 346

= 2 / 346

= 2

So, Greatest Common Divisor of 432, 614, 656, 346 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 612, 706, 118
• GCD of 472, 630, 866, 787
• GCD of 268, 732, 654, 599
• GCD of 555, 465, 328, 150
• GCD of 531, 975, 243, 871

Given numbers are 432, 614, 656, 346
The greatest common divisor of numbers 432, 614, 656, 346 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 614, 656, 346 is 2.

1. What is the GCD of 432, 614, 656, 346?

GCD of given numbers 432, 614, 656, 346 is 2

2. How to calculate the greatest common divisor of 432, 614, 656, 346?

We can find the highest common divisor of 432, 614, 656, 346 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 432, 614, 656, 346 i.e 2.

3. How can I use the GCD of 432, 614, 656, 346Calculator?

Out the numbers 432, 614, 656, 346 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.