GCD of 506, 804, 252, 378 Calculator

Given Input numbers are 506, 804, 252, 378

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

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 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (506, 804, 252, 378) = 2.

Given numbers are 506, 804, 252, 378

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 804 are 2 x 2 x 3 x 67

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

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 506, 804, 252, 378 is 2.

Given numbers are 506, 804, 252, 378

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

Apply this formula for all numbers.

Step1:

LCM(506, 804) = 203412

GCD(506, 804) = ( 506 x 804 ) / 203412

= 506 / 804

= 506

Step2:

LCM(2, 252) = 252

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

= 2 / 252

= 2

Step3:

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

= 2 / 378

= 2

So, Greatest Common Divisor of 506, 804, 252, 378 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 559, 504, 674
• GCD of 726, 585, 657, 309
• GCD of 424, 604, 898, 705
• GCD of 376, 387, 825, 523
• GCD of 978, 264, 299, 528

Given numbers are 506, 804, 252, 378
The greatest common divisor of numbers 506, 804, 252, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 804, 252, 378 is 2.

1. What is the GCD of 506, 804, 252, 378?

GCD of given numbers 506, 804, 252, 378 is 2

2. How to calculate the greatest common divisor of 506, 804, 252, 378?

We can find the highest common divisor of 506, 804, 252, 378 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 506, 804, 252, 378 i.e 2.

3. How can I use the GCD of 506, 804, 252, 378Calculator?

Out the numbers 506, 804, 252, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.