GCD of 765, 819, 465, 462 Calculator

Given Input numbers are 765, 819, 465, 462

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

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 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 465 :

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

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD of numbers is the greatest common divisor

So, the GCD (765, 819, 465, 462) = 3.

Given numbers are 765, 819, 465, 462

The list of prime factors of all numbers are

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

Prime factors of 819 are 3 x 3 x 7 x 13

Prime factors of 465 are 3 x 5 x 31

Prime factors of 462 are 2 x 3 x 7 x 11

The highest common occurrence is 3¹

Therefore, GCD of 765, 819, 465, 462 is 3.

Given numbers are 765, 819, 465, 462

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

Apply this formula for all numbers.

Step1:

LCM(765, 819) = 69615

GCD(765, 819) = ( 765 x 819 ) / 69615

= 765 / 819

= 765

Step2:

LCM(9, 465) = 1395

GCD(9, 465) = ( 9 x 465 ) / 1395

= 9 / 465

= 9

Step3:

LCM(3, 462) = 462

GCD(3, 462) = ( 3 x 462 ) / 462

= 3 / 462

= 3

So, Greatest Common Divisor of 765, 819, 465, 462 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 306, 502, 843, 501
• GCD of 130, 784, 445, 628
• GCD of 380, 453, 702, 350
• GCD of 852, 823, 155, 931
• GCD of 601, 949, 748, 218

Given numbers are 765, 819, 465, 462
The greatest common divisor of numbers 765, 819, 465, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 819, 465, 462 is 3.

1. What is the GCD of 765, 819, 465, 462?

GCD of given numbers 765, 819, 465, 462 is 3

2. How to calculate the greatest common divisor of 765, 819, 465, 462?

We can find the highest common divisor of 765, 819, 465, 462 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 765, 819, 465, 462 i.e 3.

3. How can I use the GCD of 765, 819, 465, 462Calculator?

Out the numbers 765, 819, 465, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.