GCD of 252, 225, 660, 423 Calculator

Given Input numbers are 252, 225, 660, 423

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

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

GCD of numbers is the greatest common divisor

So, the GCD (252, 225, 660, 423) = 3.

Given numbers are 252, 225, 660, 423

The list of prime factors of all numbers are

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 423 are 3 x 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 252, 225, 660, 423 is 3.

Given numbers are 252, 225, 660, 423

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

Apply this formula for all numbers.

Step1:

LCM(252, 225) = 6300

GCD(252, 225) = ( 252 x 225 ) / 6300

= 252 / 225

= 252

Step2:

LCM(9, 660) = 1980

GCD(9, 660) = ( 9 x 660 ) / 1980

= 9 / 660

= 9

Step3:

LCM(3, 423) = 423

GCD(3, 423) = ( 3 x 423 ) / 423

= 3 / 423

= 3

So, Greatest Common Divisor of 252, 225, 660, 423 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 982, 933, 218, 468
• GCD of 156, 348, 181, 537
• GCD of 109, 827, 283, 574
• GCD of 396, 896, 656, 632
• GCD of 532, 257, 178, 344

Given numbers are 252, 225, 660, 423
The greatest common divisor of numbers 252, 225, 660, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 225, 660, 423 is 3.

1. What is the GCD of 252, 225, 660, 423?

GCD of given numbers 252, 225, 660, 423 is 3

2. How to calculate the greatest common divisor of 252, 225, 660, 423?

We can find the highest common divisor of 252, 225, 660, 423 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 252, 225, 660, 423 i.e 3.

3. How can I use the GCD of 252, 225, 660, 423Calculator?

Out the numbers 252, 225, 660, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.