GCD of 459, 387, 867, 813 Calculator

Given Input numbers are 459, 387, 867, 813

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

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

GCD of numbers is the greatest common divisor

So, the GCD (459, 387, 867, 813) = 3.

Given numbers are 459, 387, 867, 813

The list of prime factors of all numbers are

Prime factors of 459 are 3 x 3 x 3 x 17

Prime factors of 387 are 3 x 3 x 43

Prime factors of 867 are 3 x 17 x 17

Prime factors of 813 are 3 x 271

The highest common occurrence is 3¹

Therefore, GCD of 459, 387, 867, 813 is 3.

Given numbers are 459, 387, 867, 813

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

Apply this formula for all numbers.

Step1:

LCM(459, 387) = 19737

GCD(459, 387) = ( 459 x 387 ) / 19737

= 459 / 387

= 459

Step2:

LCM(9, 867) = 2601

GCD(9, 867) = ( 9 x 867 ) / 2601

= 9 / 867

= 9

Step3:

LCM(3, 813) = 813

GCD(3, 813) = ( 3 x 813 ) / 813

= 3 / 813

= 3

So, Greatest Common Divisor of 459, 387, 867, 813 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 531, 151, 932, 623
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• GCD of 837, 528, 820, 634
• GCD of 409, 759, 447, 200
• GCD of 705, 352, 385, 162

Given numbers are 459, 387, 867, 813
The greatest common divisor of numbers 459, 387, 867, 813 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 459, 387, 867, 813 is 3.

1. What is the GCD of 459, 387, 867, 813?

GCD of given numbers 459, 387, 867, 813 is 3

2. How to calculate the greatest common divisor of 459, 387, 867, 813?

We can find the highest common divisor of 459, 387, 867, 813 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 459, 387, 867, 813 i.e 3.

3. How can I use the GCD of 459, 387, 867, 813Calculator?

Out the numbers 459, 387, 867, 813 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.