GCD of 432, 214, 315, 690 Calculator

Given Input numbers are 432, 214, 315, 690

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 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (432, 214, 315, 690) = 1.

Given numbers are 432, 214, 315, 690

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 214 are 2 x 107

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 690 are 2 x 3 x 5 x 23

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

Given numbers are 432, 214, 315, 690

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

Apply this formula for all numbers.

Step1:

LCM(432, 214) = 46224

GCD(432, 214) = ( 432 x 214 ) / 46224

= 432 / 214

= 432

Step2:

LCM(2, 315) = 630

GCD(2, 315) = ( 2 x 315 ) / 630

= 2 / 315

= 2

Step3:

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

= 1 / 690

= 1

So, Greatest Common Divisor of 432, 214, 315, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 990, 288, 734, 220
• GCD of 895, 524, 476, 311
• GCD of 662, 177, 969, 397
• GCD of 800, 793, 962, 884
• GCD of 121, 679, 545, 817

Given numbers are 432, 214, 315, 690
The greatest common divisor of numbers 432, 214, 315, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 214, 315, 690 is 1.

1. What is the GCD of 432, 214, 315, 690?

GCD of given numbers 432, 214, 315, 690 is 1

2. How to calculate the greatest common divisor of 432, 214, 315, 690?

We can find the highest common divisor of 432, 214, 315, 690 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, 214, 315, 690 i.e 1.

3. How can I use the GCD of 432, 214, 315, 690Calculator?

Out the numbers 432, 214, 315, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.