GCD of 381, 540, 365, 384 Calculator

Given Input numbers are 381, 540, 365, 384

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

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD of numbers is the greatest common divisor

So, the GCD (381, 540, 365, 384) = 1.

Given numbers are 381, 540, 365, 384

The list of prime factors of all numbers are

Prime factors of 381 are 3 x 127

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 365 are 5 x 73

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Given numbers are 381, 540, 365, 384

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

Apply this formula for all numbers.

Step1:

LCM(381, 540) = 68580

GCD(381, 540) = ( 381 x 540 ) / 68580

= 381 / 540

= 381

Step2:

LCM(3, 365) = 1095

GCD(3, 365) = ( 3 x 365 ) / 1095

= 3 / 365

= 3

Step3:

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

= 1 / 384

= 1

So, Greatest Common Divisor of 381, 540, 365, 384 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 382, 357, 778, 371
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• GCD of 480, 546, 596, 567

Given numbers are 381, 540, 365, 384
The greatest common divisor of numbers 381, 540, 365, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 540, 365, 384 is 1.

1. What is the GCD of 381, 540, 365, 384?

GCD of given numbers 381, 540, 365, 384 is 1

2. How to calculate the greatest common divisor of 381, 540, 365, 384?

We can find the highest common divisor of 381, 540, 365, 384 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 381, 540, 365, 384 i.e 1.

3. How can I use the GCD of 381, 540, 365, 384Calculator?

Out the numbers 381, 540, 365, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.