GCD of 438, 360, 415, 330 Calculator

Given Input numbers are 438, 360, 415, 330

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 415 :

The positive integer divisors of 415 that completely divides 415 are.

1, 5, 83, 415

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

GCD of numbers is the greatest common divisor

So, the GCD (438, 360, 415, 330) = 1.

Given numbers are 438, 360, 415, 330

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 415 are 5 x 83

Prime factors of 330 are 2 x 3 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 438, 360, 415, 330

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

Apply this formula for all numbers.

Step1:

LCM(438, 360) = 26280

GCD(438, 360) = ( 438 x 360 ) / 26280

= 438 / 360

= 438

Step2:

LCM(6, 415) = 2490

GCD(6, 415) = ( 6 x 415 ) / 2490

= 6 / 415

= 6

Step3:

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

= 1 / 330

= 1

So, Greatest Common Divisor of 438, 360, 415, 330 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 411, 587, 155, 872
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• GCD of 707, 480, 925, 516

Given numbers are 438, 360, 415, 330
The greatest common divisor of numbers 438, 360, 415, 330 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 360, 415, 330 is 1.

1. What is the GCD of 438, 360, 415, 330?

GCD of given numbers 438, 360, 415, 330 is 1

2. How to calculate the greatest common divisor of 438, 360, 415, 330?

We can find the highest common divisor of 438, 360, 415, 330 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, 360, 415, 330 i.e 1.

3. How can I use the GCD of 438, 360, 415, 330Calculator?

Out the numbers 438, 360, 415, 330 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.