GCD of 765, 459, 510, 942 Calculator

Given Input numbers are 765, 459, 510, 942

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 459 :

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

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

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

GCD of numbers is the greatest common divisor

So, the GCD (765, 459, 510, 942) = 3.

Given numbers are 765, 459, 510, 942

The list of prime factors of all numbers are

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

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

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 942 are 2 x 3 x 157

The highest common occurrence is 3¹

Therefore, GCD of 765, 459, 510, 942 is 3.

Given numbers are 765, 459, 510, 942

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

Apply this formula for all numbers.

Step1:

LCM(765, 459) = 2295

GCD(765, 459) = ( 765 x 459 ) / 2295

= 765 / 459

= 765

Step2:

LCM(153, 510) = 1530

GCD(153, 510) = ( 153 x 510 ) / 1530

= 153 / 510

= 153

Step3:

LCM(51, 942) = 16014

GCD(51, 942) = ( 51 x 942 ) / 16014

= 51 / 942

= 51

So, Greatest Common Divisor of 765, 459, 510, 942 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 971, 323, 371, 610
• GCD of 902, 317, 226, 669
• GCD of 180, 118, 392, 612
• GCD of 713, 914, 842, 698
• GCD of 533, 891, 659, 882

Given numbers are 765, 459, 510, 942
The greatest common divisor of numbers 765, 459, 510, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 459, 510, 942 is 3.

1. What is the GCD of 765, 459, 510, 942?

GCD of given numbers 765, 459, 510, 942 is 3

2. How to calculate the greatest common divisor of 765, 459, 510, 942?

We can find the highest common divisor of 765, 459, 510, 942 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, 459, 510, 942 i.e 3.

3. How can I use the GCD of 765, 459, 510, 942Calculator?

Out the numbers 765, 459, 510, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.