GCD of 213, 405, 771, 540 Calculator

Given Input numbers are 213, 405, 771, 540

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

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

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 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

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

GCD of numbers is the greatest common divisor

So, the GCD (213, 405, 771, 540) = 3.

Given numbers are 213, 405, 771, 540

The list of prime factors of all numbers are

Prime factors of 213 are 3 x 71

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

Prime factors of 771 are 3 x 257

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

The highest common occurrence is 3¹

Therefore, GCD of 213, 405, 771, 540 is 3.

Given numbers are 213, 405, 771, 540

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

Apply this formula for all numbers.

Step1:

LCM(213, 405) = 28755

GCD(213, 405) = ( 213 x 405 ) / 28755

= 213 / 405

= 213

Step2:

LCM(3, 771) = 771

GCD(3, 771) = ( 3 x 771 ) / 771

= 3 / 771

= 3

Step3:

LCM(3, 540) = 540

GCD(3, 540) = ( 3 x 540 ) / 540

= 3 / 540

= 3

So, Greatest Common Divisor of 213, 405, 771, 540 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 946, 837, 541
• GCD of 788, 517, 356, 319
• GCD of 701, 752, 826, 991
• GCD of 761, 913, 485, 419
• GCD of 292, 997, 917, 581

Given numbers are 213, 405, 771, 540
The greatest common divisor of numbers 213, 405, 771, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 405, 771, 540 is 3.

1. What is the GCD of 213, 405, 771, 540?

GCD of given numbers 213, 405, 771, 540 is 3

2. How to calculate the greatest common divisor of 213, 405, 771, 540?

We can find the highest common divisor of 213, 405, 771, 540 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 213, 405, 771, 540 i.e 3.

3. How can I use the GCD of 213, 405, 771, 540Calculator?

Out the numbers 213, 405, 771, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.