GCD of 402, 555, 378, 459 Calculator

Given Input numbers are 402, 555, 378, 459

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

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 555 :

The positive integer divisors of 555 that completely divides 555 are.

1, 3, 5, 15, 37, 111, 185, 555

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 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

GCD of numbers is the greatest common divisor

So, the GCD (402, 555, 378, 459) = 3.

Given numbers are 402, 555, 378, 459

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 555 are 3 x 5 x 37

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

Prime factors of 459 are 3 x 3 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 402, 555, 378, 459 is 3.

Given numbers are 402, 555, 378, 459

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

Apply this formula for all numbers.

Step1:

LCM(402, 555) = 74370

GCD(402, 555) = ( 402 x 555 ) / 74370

= 402 / 555

= 402

Step2:

LCM(3, 378) = 378

GCD(3, 378) = ( 3 x 378 ) / 378

= 3 / 378

= 3

Step3:

LCM(3, 459) = 459

GCD(3, 459) = ( 3 x 459 ) / 459

= 3 / 459

= 3

So, Greatest Common Divisor of 402, 555, 378, 459 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 706, 733, 133, 675
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Given numbers are 402, 555, 378, 459
The greatest common divisor of numbers 402, 555, 378, 459 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 555, 378, 459 is 3.

1. What is the GCD of 402, 555, 378, 459?

GCD of given numbers 402, 555, 378, 459 is 3

2. How to calculate the greatest common divisor of 402, 555, 378, 459?

We can find the highest common divisor of 402, 555, 378, 459 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 402, 555, 378, 459 i.e 3.

3. How can I use the GCD of 402, 555, 378, 459Calculator?

Out the numbers 402, 555, 378, 459 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.