GCD of 405, 267, 780, 538 Calculator

Given Input numbers are 405, 267, 780, 538

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

Divisors of 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

GCD of numbers is the greatest common divisor

So, the GCD (405, 267, 780, 538) = 1.

Given numbers are 405, 267, 780, 538

The list of prime factors of all numbers are

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

Prime factors of 267 are 3 x 89

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 538 are 2 x 269

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

Given numbers are 405, 267, 780, 538

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

Apply this formula for all numbers.

Step1:

LCM(405, 267) = 36045

GCD(405, 267) = ( 405 x 267 ) / 36045

= 405 / 267

= 405

Step2:

LCM(3, 780) = 780

GCD(3, 780) = ( 3 x 780 ) / 780

= 3 / 780

= 3

Step3:

LCM(3, 538) = 1614

GCD(3, 538) = ( 3 x 538 ) / 1614

= 3 / 538

= 3

So, Greatest Common Divisor of 405, 267, 780, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 664, 948, 319, 273
• GCD of 783, 112, 274, 200
• GCD of 133, 183, 355, 331
• GCD of 640, 903, 850, 680
• GCD of 378, 717, 281, 368

Given numbers are 405, 267, 780, 538
The greatest common divisor of numbers 405, 267, 780, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 405, 267, 780, 538 is 1.

1. What is the GCD of 405, 267, 780, 538?

GCD of given numbers 405, 267, 780, 538 is 1

2. How to calculate the greatest common divisor of 405, 267, 780, 538?

We can find the highest common divisor of 405, 267, 780, 538 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 405, 267, 780, 538 i.e 1.

3. How can I use the GCD of 405, 267, 780, 538Calculator?

Out the numbers 405, 267, 780, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.