GCD of 381, 324, 523, 909 Calculator

Given Input numbers are 381, 324, 523, 909

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 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

GCD of numbers is the greatest common divisor

So, the GCD (381, 324, 523, 909) = 1.

Given numbers are 381, 324, 523, 909

The list of prime factors of all numbers are

Prime factors of 381 are 3 x 127

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 523 are 523

Prime factors of 909 are 3 x 3 x 101

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

Given numbers are 381, 324, 523, 909

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

Apply this formula for all numbers.

Step1:

LCM(381, 324) = 41148

GCD(381, 324) = ( 381 x 324 ) / 41148

= 381 / 324

= 381

Step2:

LCM(3, 523) = 1569

GCD(3, 523) = ( 3 x 523 ) / 1569

= 3 / 523

= 3

Step3:

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

= 1 / 909

= 1

So, Greatest Common Divisor of 381, 324, 523, 909 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 108, 439, 554
• GCD of 205, 256, 495, 392
• GCD of 200, 341, 658, 567
• GCD of 351, 177, 795, 232
• GCD of 694, 569, 146, 566

Given numbers are 381, 324, 523, 909
The greatest common divisor of numbers 381, 324, 523, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 324, 523, 909 is 1.

1. What is the GCD of 381, 324, 523, 909?

GCD of given numbers 381, 324, 523, 909 is 1

2. How to calculate the greatest common divisor of 381, 324, 523, 909?

We can find the highest common divisor of 381, 324, 523, 909 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, 324, 523, 909 i.e 1.

3. How can I use the GCD of 381, 324, 523, 909Calculator?

Out the numbers 381, 324, 523, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.