GCD of 378, 396, 507 Calculator

Given Input numbers are 378, 396, 507

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

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

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

GCD of numbers is the greatest common divisor

So, the GCD (378, 396, 507) = 3.

Given numbers are 378, 396, 507

The list of prime factors of all numbers are

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

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 507 are 3 x 13 x 13

The highest common occurrence is 3¹

Therefore, GCD of 378, 396, 507 is 3.

Given numbers are 378, 396, 507

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

Apply this formula for all numbers.

Step1:

LCM(378, 396) = 8316

GCD(378, 396) = ( 378 x 396 ) / 8316

= 378 / 396

= 378

Step2:

LCM(18, 507) = 3042

GCD(18, 507) = ( 18 x 507 ) / 3042

= 18 / 507

= 18

So, Greatest Common Divisor of 378, 396, 507 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 768, 730
• GCD of 299, 382, 961
• GCD of 854, 166, 332
• GCD of 488, 409, 600
• GCD of 339, 588, 974

Given numbers are 378, 396, 507
The greatest common divisor of numbers 378, 396, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 396, 507 is 3.

1. What is the GCD of 378, 396, 507?

GCD of given numbers 378, 396, 507 is 3

2. How to calculate the greatest common divisor of 378, 396, 507?

We can find the highest common divisor of 378, 396, 507 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 378, 396, 507 i.e 3.

3. How can I use the GCD of 378, 396, 507Calculator?

Out the numbers 378, 396, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.