GCD of 172, 213, 36, 864 Calculator

Given Input numbers are 172, 213, 36, 864

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

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

GCD of numbers is the greatest common divisor

So, the GCD (172, 213, 36, 864) = 1.

Given numbers are 172, 213, 36, 864

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 213 are 3 x 71

Prime factors of 36 are 2 x 2 x 3 x 3

Prime factors of 864 are 2 x 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 172, 213, 36, 864

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

Apply this formula for all numbers.

Step1:

LCM(172, 213) = 36636

GCD(172, 213) = ( 172 x 213 ) / 36636

= 172 / 213

= 172

Step2:

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

= 1 / 36

= 1

Step3:

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

= 1 / 864

= 1

So, Greatest Common Divisor of 172, 213, 36, 864 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 944, 208, 93, 818
• GCD of 877, 475, 77, 348
• GCD of 654, 616, 83, 138
• GCD of 376, 648, 90, 374
• GCD of 186, 708, 55, 861

Given numbers are 172, 213, 36, 864
The greatest common divisor of numbers 172, 213, 36, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 213, 36, 864 is 1.

1. What is the GCD of 172, 213, 36, 864?

GCD of given numbers 172, 213, 36, 864 is 1

2. How to calculate the greatest common divisor of 172, 213, 36, 864?

We can find the highest common divisor of 172, 213, 36, 864 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 172, 213, 36, 864 i.e 1.

3. How can I use the GCD of 172, 213, 36, 864Calculator?

Out the numbers 172, 213, 36, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.