GCD of 972, 339, 321, 201 Calculator

Given Input numbers are 972, 339, 321, 201

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

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 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

Divisors of 321 :

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

1, 3, 107, 321

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

GCD of numbers is the greatest common divisor

So, the GCD (972, 339, 321, 201) = 3.

Given numbers are 972, 339, 321, 201

The list of prime factors of all numbers are

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

Prime factors of 339 are 3 x 113

Prime factors of 321 are 3 x 107

Prime factors of 201 are 3 x 67

The highest common occurrence is 3¹

Therefore, GCD of 972, 339, 321, 201 is 3.

Given numbers are 972, 339, 321, 201

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

Apply this formula for all numbers.

Step1:

LCM(972, 339) = 109836

GCD(972, 339) = ( 972 x 339 ) / 109836

= 972 / 339

= 972

Step2:

LCM(3, 321) = 321

GCD(3, 321) = ( 3 x 321 ) / 321

= 3 / 321

= 3

Step3:

LCM(3, 201) = 201

GCD(3, 201) = ( 3 x 201 ) / 201

= 3 / 201

= 3

So, Greatest Common Divisor of 972, 339, 321, 201 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 532, 795, 142, 477
• GCD of 204, 523, 997, 916
• GCD of 587, 600, 101, 772
• GCD of 705, 899, 181, 201
• GCD of 671, 570, 385, 262

Given numbers are 972, 339, 321, 201
The greatest common divisor of numbers 972, 339, 321, 201 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 339, 321, 201 is 3.

1. What is the GCD of 972, 339, 321, 201?

GCD of given numbers 972, 339, 321, 201 is 3

2. How to calculate the greatest common divisor of 972, 339, 321, 201?

We can find the highest common divisor of 972, 339, 321, 201 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 972, 339, 321, 201 i.e 3.

3. How can I use the GCD of 972, 339, 321, 201Calculator?

Out the numbers 972, 339, 321, 201 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.