GCD of 405, 705, 528, 564 Calculator

Given Input numbers are 405, 705, 528, 564

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 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (405, 705, 528, 564) = 3.

Given numbers are 405, 705, 528, 564

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 705 are 3 x 5 x 47

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 405, 705, 528, 564 is 3.

Given numbers are 405, 705, 528, 564

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

Apply this formula for all numbers.

Step1:

LCM(405, 705) = 19035

GCD(405, 705) = ( 405 x 705 ) / 19035

= 405 / 705

= 405

Step2:

LCM(15, 528) = 2640

GCD(15, 528) = ( 15 x 528 ) / 2640

= 15 / 528

= 15

Step3:

LCM(3, 564) = 564

GCD(3, 564) = ( 3 x 564 ) / 564

= 3 / 564

= 3

So, Greatest Common Divisor of 405, 705, 528, 564 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 482, 262, 497, 977
• GCD of 709, 947, 880, 899
• GCD of 935, 535, 282, 592
• GCD of 472, 414, 518, 324
• GCD of 196, 808, 774, 218

Given numbers are 405, 705, 528, 564
The greatest common divisor of numbers 405, 705, 528, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 405, 705, 528, 564 is 3.

1. What is the GCD of 405, 705, 528, 564?

GCD of given numbers 405, 705, 528, 564 is 3

2. How to calculate the greatest common divisor of 405, 705, 528, 564?

We can find the highest common divisor of 405, 705, 528, 564 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, 705, 528, 564 i.e 3.

3. How can I use the GCD of 405, 705, 528, 564Calculator?

Out the numbers 405, 705, 528, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.