GCD of 327, 765, 465, 810 Calculator

Given Input numbers are 327, 765, 465, 810

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

Divisors of 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

GCD of numbers is the greatest common divisor

So, the GCD (327, 765, 465, 810) = 3.

Given numbers are 327, 765, 465, 810

The list of prime factors of all numbers are

Prime factors of 327 are 3 x 109

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 465 are 3 x 5 x 31

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 327, 765, 465, 810 is 3.

Given numbers are 327, 765, 465, 810

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

Apply this formula for all numbers.

Step1:

LCM(327, 765) = 83385

GCD(327, 765) = ( 327 x 765 ) / 83385

= 327 / 765

= 327

Step2:

LCM(3, 465) = 465

GCD(3, 465) = ( 3 x 465 ) / 465

= 3 / 465

= 3

Step3:

LCM(3, 810) = 810

GCD(3, 810) = ( 3 x 810 ) / 810

= 3 / 810

= 3

So, Greatest Common Divisor of 327, 765, 465, 810 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 190, 953, 682
• GCD of 354, 835, 418, 821
• GCD of 315, 486, 308, 911
• GCD of 316, 494, 842, 713
• GCD of 699, 615, 783, 561

Given numbers are 327, 765, 465, 810
The greatest common divisor of numbers 327, 765, 465, 810 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 327, 765, 465, 810 is 3.

1. What is the GCD of 327, 765, 465, 810?

GCD of given numbers 327, 765, 465, 810 is 3

2. How to calculate the greatest common divisor of 327, 765, 465, 810?

We can find the highest common divisor of 327, 765, 465, 810 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 327, 765, 465, 810 i.e 3.

3. How can I use the GCD of 327, 765, 465, 810Calculator?

Out the numbers 327, 765, 465, 810 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.