GCD of 405, 852, 108, 747 Calculator

Given Input numbers are 405, 852, 108, 747

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 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

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

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

GCD of numbers is the greatest common divisor

So, the GCD (405, 852, 108, 747) = 3.

Given numbers are 405, 852, 108, 747

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 852 are 2 x 2 x 3 x 71

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 747 are 3 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 405, 852, 108, 747 is 3.

Given numbers are 405, 852, 108, 747

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

Apply this formula for all numbers.

Step1:

LCM(405, 852) = 115020

GCD(405, 852) = ( 405 x 852 ) / 115020

= 405 / 852

= 405

Step2:

LCM(3, 108) = 108

GCD(3, 108) = ( 3 x 108 ) / 108

= 3 / 108

= 3

Step3:

LCM(3, 747) = 747

GCD(3, 747) = ( 3 x 747 ) / 747

= 3 / 747

= 3

So, Greatest Common Divisor of 405, 852, 108, 747 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 242, 402, 701, 576
• GCD of 731, 616, 196, 553
• GCD of 982, 609, 773, 511
• GCD of 558, 853, 734, 685
• GCD of 313, 519, 939, 225

Given numbers are 405, 852, 108, 747
The greatest common divisor of numbers 405, 852, 108, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 405, 852, 108, 747 is 3.

1. What is the GCD of 405, 852, 108, 747?

GCD of given numbers 405, 852, 108, 747 is 3

2. How to calculate the greatest common divisor of 405, 852, 108, 747?

We can find the highest common divisor of 405, 852, 108, 747 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, 852, 108, 747 i.e 3.

3. How can I use the GCD of 405, 852, 108, 747Calculator?

Out the numbers 405, 852, 108, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.