GCD of 321, 936, 972, 171 Calculator

Given Input numbers are 321, 936, 972, 171

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

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (321, 936, 972, 171) = 3.

Given numbers are 321, 936, 972, 171

The list of prime factors of all numbers are

Prime factors of 321 are 3 x 107

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 171 are 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 321, 936, 972, 171 is 3.

Given numbers are 321, 936, 972, 171

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

Apply this formula for all numbers.

Step1:

LCM(321, 936) = 100152

GCD(321, 936) = ( 321 x 936 ) / 100152

= 321 / 936

= 321

Step2:

LCM(3, 972) = 972

GCD(3, 972) = ( 3 x 972 ) / 972

= 3 / 972

= 3

Step3:

LCM(3, 171) = 171

GCD(3, 171) = ( 3 x 171 ) / 171

= 3 / 171

= 3

So, Greatest Common Divisor of 321, 936, 972, 171 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 158, 215, 792, 468
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Given numbers are 321, 936, 972, 171
The greatest common divisor of numbers 321, 936, 972, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 936, 972, 171 is 3.

1. What is the GCD of 321, 936, 972, 171?

GCD of given numbers 321, 936, 972, 171 is 3

2. How to calculate the greatest common divisor of 321, 936, 972, 171?

We can find the highest common divisor of 321, 936, 972, 171 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 321, 936, 972, 171 i.e 3.

3. How can I use the GCD of 321, 936, 972, 171Calculator?

Out the numbers 321, 936, 972, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.