GCD of 132, 633, 420, 204 Calculator

Given Input numbers are 132, 633, 420, 204

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 633 :

The positive integer divisors of 633 that completely divides 633 are.

1, 3, 211, 633

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

GCD of numbers is the greatest common divisor

So, the GCD (132, 633, 420, 204) = 3.

Given numbers are 132, 633, 420, 204

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 633 are 3 x 211

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 204 are 2 x 2 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 132, 633, 420, 204 is 3.

Given numbers are 132, 633, 420, 204

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

Apply this formula for all numbers.

Step1:

LCM(132, 633) = 27852

GCD(132, 633) = ( 132 x 633 ) / 27852

= 132 / 633

= 132

Step2:

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

= 3 / 420

= 3

Step3:

LCM(3, 204) = 204

GCD(3, 204) = ( 3 x 204 ) / 204

= 3 / 204

= 3

So, Greatest Common Divisor of 132, 633, 420, 204 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 379, 718, 290, 420
• GCD of 866, 703, 984, 485
• GCD of 796, 768, 578, 326
• GCD of 708, 881, 232, 630
• GCD of 615, 833, 618, 846

Given numbers are 132, 633, 420, 204
The greatest common divisor of numbers 132, 633, 420, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 633, 420, 204 is 3.

1. What is the GCD of 132, 633, 420, 204?

GCD of given numbers 132, 633, 420, 204 is 3

2. How to calculate the greatest common divisor of 132, 633, 420, 204?

We can find the highest common divisor of 132, 633, 420, 204 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 132, 633, 420, 204 i.e 3.

3. How can I use the GCD of 132, 633, 420, 204Calculator?

Out the numbers 132, 633, 420, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.