GCD of 624, 414, 85, 432 Calculator

Given Input numbers are 624, 414, 85, 432

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

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 85 :

The positive integer divisors of 85 that completely divides 85 are.

1, 5, 17, 85

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

GCD of numbers is the greatest common divisor

So, the GCD (624, 414, 85, 432) = 1.

Given numbers are 624, 414, 85, 432

The list of prime factors of all numbers are

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 85 are 5 x 17

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 624, 414, 85, 432

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

Apply this formula for all numbers.

Step1:

LCM(624, 414) = 43056

GCD(624, 414) = ( 624 x 414 ) / 43056

= 624 / 414

= 624

Step2:

LCM(6, 85) = 510

GCD(6, 85) = ( 6 x 85 ) / 510

= 6 / 85

= 6

Step3:

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

= 1 / 432

= 1

So, Greatest Common Divisor of 624, 414, 85, 432 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 852, 864, 27, 318
• GCD of 329, 626, 86, 393
• GCD of 462, 216, 11, 194
• GCD of 366, 927, 77, 601
• GCD of 414, 405, 44, 157

Given numbers are 624, 414, 85, 432
The greatest common divisor of numbers 624, 414, 85, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 414, 85, 432 is 1.

1. What is the GCD of 624, 414, 85, 432?

GCD of given numbers 624, 414, 85, 432 is 1

2. How to calculate the greatest common divisor of 624, 414, 85, 432?

We can find the highest common divisor of 624, 414, 85, 432 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 624, 414, 85, 432 i.e 1.

3. How can I use the GCD of 624, 414, 85, 432Calculator?

Out the numbers 624, 414, 85, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.