GCD of 201, 978, 324, 966 Calculator

Given Input numbers are 201, 978, 324, 966

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

Divisors of 201 :

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

1, 3, 67, 201

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

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

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

GCD of numbers is the greatest common divisor

So, the GCD (201, 978, 324, 966) = 3.

Given numbers are 201, 978, 324, 966

The list of prime factors of all numbers are

Prime factors of 201 are 3 x 67

Prime factors of 978 are 2 x 3 x 163

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 966 are 2 x 3 x 7 x 23

The highest common occurrence is 3¹

Therefore, GCD of 201, 978, 324, 966 is 3.

Given numbers are 201, 978, 324, 966

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

Apply this formula for all numbers.

Step1:

LCM(201, 978) = 65526

GCD(201, 978) = ( 201 x 978 ) / 65526

= 201 / 978

= 201

Step2:

LCM(3, 324) = 324

GCD(3, 324) = ( 3 x 324 ) / 324

= 3 / 324

= 3

Step3:

LCM(3, 966) = 966

GCD(3, 966) = ( 3 x 966 ) / 966

= 3 / 966

= 3

So, Greatest Common Divisor of 201, 978, 324, 966 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 372, 638, 263, 919
• GCD of 296, 636, 416, 499
• GCD of 425, 482, 136, 488
• GCD of 303, 134, 213, 952
• GCD of 178, 222, 140, 310

Given numbers are 201, 978, 324, 966
The greatest common divisor of numbers 201, 978, 324, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 201, 978, 324, 966 is 3.

1. What is the GCD of 201, 978, 324, 966?

GCD of given numbers 201, 978, 324, 966 is 3

2. How to calculate the greatest common divisor of 201, 978, 324, 966?

We can find the highest common divisor of 201, 978, 324, 966 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 201, 978, 324, 966 i.e 3.

3. How can I use the GCD of 201, 978, 324, 966Calculator?

Out the numbers 201, 978, 324, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.