GCD of 438, 604, 528, 252 Calculator

Given Input numbers are 438, 604, 528, 252

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

GCD of numbers is the greatest common divisor

So, the GCD (438, 604, 528, 252) = 2.

Given numbers are 438, 604, 528, 252

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 604 are 2 x 2 x 151

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 438, 604, 528, 252 is 2.

Given numbers are 438, 604, 528, 252

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

Apply this formula for all numbers.

Step1:

LCM(438, 604) = 132276

GCD(438, 604) = ( 438 x 604 ) / 132276

= 438 / 604

= 438

Step2:

LCM(2, 528) = 528

GCD(2, 528) = ( 2 x 528 ) / 528

= 2 / 528

= 2

Step3:

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

= 2 / 252

= 2

So, Greatest Common Divisor of 438, 604, 528, 252 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 909, 327, 730, 274
• GCD of 370, 306, 381, 163
• GCD of 289, 960, 874, 635
• GCD of 918, 250, 336, 789
• GCD of 859, 735, 334, 938

Given numbers are 438, 604, 528, 252
The greatest common divisor of numbers 438, 604, 528, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 604, 528, 252 is 2.

1. What is the GCD of 438, 604, 528, 252?

GCD of given numbers 438, 604, 528, 252 is 2

2. How to calculate the greatest common divisor of 438, 604, 528, 252?

We can find the highest common divisor of 438, 604, 528, 252 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 438, 604, 528, 252 i.e 2.

3. How can I use the GCD of 438, 604, 528, 252Calculator?

Out the numbers 438, 604, 528, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.