GCD of 972, 522, 33, 414 Calculator

Given Input numbers are 972, 522, 33, 414

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 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 33 :

The positive integer divisors of 33 that completely divides 33 are.

1, 3, 11, 33

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (972, 522, 33, 414) = 3.

Given numbers are 972, 522, 33, 414

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 522 are 2 x 3 x 3 x 29

Prime factors of 33 are 3 x 11

Prime factors of 414 are 2 x 3 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 972, 522, 33, 414 is 3.

Given numbers are 972, 522, 33, 414

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

Apply this formula for all numbers.

Step1:

LCM(972, 522) = 28188

GCD(972, 522) = ( 972 x 522 ) / 28188

= 972 / 522

= 972

Step2:

LCM(18, 33) = 198

GCD(18, 33) = ( 18 x 33 ) / 198

= 18 / 33

= 18

Step3:

LCM(3, 414) = 414

GCD(3, 414) = ( 3 x 414 ) / 414

= 3 / 414

= 3

So, Greatest Common Divisor of 972, 522, 33, 414 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 813, 734, 88, 611
• GCD of 283, 813, 82, 278
• GCD of 281, 312, 28, 622
• GCD of 144, 150, 66, 236
• GCD of 743, 671, 50, 312

Given numbers are 972, 522, 33, 414
The greatest common divisor of numbers 972, 522, 33, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 522, 33, 414 is 3.

1. What is the GCD of 972, 522, 33, 414?

GCD of given numbers 972, 522, 33, 414 is 3

2. How to calculate the greatest common divisor of 972, 522, 33, 414?

We can find the highest common divisor of 972, 522, 33, 414 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, 522, 33, 414 i.e 3.

3. How can I use the GCD of 972, 522, 33, 414Calculator?

Out the numbers 972, 522, 33, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.