GCD of 690, 459, 864, 306 Calculator

Given Input numbers are 690, 459, 864, 306

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 459 :

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

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

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

GCD of numbers is the greatest common divisor

So, the GCD (690, 459, 864, 306) = 3.

Given numbers are 690, 459, 864, 306

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

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

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 306 are 2 x 3 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 690, 459, 864, 306 is 3.

Given numbers are 690, 459, 864, 306

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

Apply this formula for all numbers.

Step1:

LCM(690, 459) = 105570

GCD(690, 459) = ( 690 x 459 ) / 105570

= 690 / 459

= 690

Step2:

LCM(3, 864) = 864

GCD(3, 864) = ( 3 x 864 ) / 864

= 3 / 864

= 3

Step3:

LCM(3, 306) = 306

GCD(3, 306) = ( 3 x 306 ) / 306

= 3 / 306

= 3

So, Greatest Common Divisor of 690, 459, 864, 306 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 197, 679, 911, 472
• GCD of 837, 275, 629, 164
• GCD of 303, 850, 319, 644
• GCD of 941, 222, 313, 203
• GCD of 535, 955, 726, 561

Given numbers are 690, 459, 864, 306
The greatest common divisor of numbers 690, 459, 864, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 459, 864, 306 is 3.

1. What is the GCD of 690, 459, 864, 306?

GCD of given numbers 690, 459, 864, 306 is 3

2. How to calculate the greatest common divisor of 690, 459, 864, 306?

We can find the highest common divisor of 690, 459, 864, 306 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 690, 459, 864, 306 i.e 3.

3. How can I use the GCD of 690, 459, 864, 306Calculator?

Out the numbers 690, 459, 864, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.