GCD of 540, 905, 780, 426 Calculator

Given Input numbers are 540, 905, 780, 426

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

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 905 :

The positive integer divisors of 905 that completely divides 905 are.

1, 5, 181, 905

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 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

GCD of numbers is the greatest common divisor

So, the GCD (540, 905, 780, 426) = 1.

Given numbers are 540, 905, 780, 426

The list of prime factors of all numbers are

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

Prime factors of 905 are 5 x 181

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

Prime factors of 426 are 2 x 3 x 71

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

Given numbers are 540, 905, 780, 426

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

Apply this formula for all numbers.

Step1:

LCM(540, 905) = 97740

GCD(540, 905) = ( 540 x 905 ) / 97740

= 540 / 905

= 540

Step2:

LCM(5, 780) = 780

GCD(5, 780) = ( 5 x 780 ) / 780

= 5 / 780

= 5

Step3:

LCM(5, 426) = 2130

GCD(5, 426) = ( 5 x 426 ) / 2130

= 5 / 426

= 5

So, Greatest Common Divisor of 540, 905, 780, 426 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 133, 812, 191, 631
• GCD of 712, 241, 446, 802
• GCD of 582, 152, 526, 787
• GCD of 280, 590, 625, 156
• GCD of 682, 590, 369, 687

Given numbers are 540, 905, 780, 426
The greatest common divisor of numbers 540, 905, 780, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 905, 780, 426 is 1.

1. What is the GCD of 540, 905, 780, 426?

GCD of given numbers 540, 905, 780, 426 is 1

2. How to calculate the greatest common divisor of 540, 905, 780, 426?

We can find the highest common divisor of 540, 905, 780, 426 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 540, 905, 780, 426 i.e 1.

3. How can I use the GCD of 540, 905, 780, 426Calculator?

Out the numbers 540, 905, 780, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.