GCD of 684, 585, 885, 915 Calculator

Given Input numbers are 684, 585, 885, 915

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 885 :

The positive integer divisors of 885 that completely divides 885 are.

1, 3, 5, 15, 59, 177, 295, 885

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

GCD of numbers is the greatest common divisor

So, the GCD (684, 585, 885, 915) = 3.

Given numbers are 684, 585, 885, 915

The list of prime factors of all numbers are

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 885 are 3 x 5 x 59

Prime factors of 915 are 3 x 5 x 61

The highest common occurrence is 3¹

Therefore, GCD of 684, 585, 885, 915 is 3.

Given numbers are 684, 585, 885, 915

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

Apply this formula for all numbers.

Step1:

LCM(684, 585) = 44460

GCD(684, 585) = ( 684 x 585 ) / 44460

= 684 / 585

= 684

Step2:

LCM(9, 885) = 2655

GCD(9, 885) = ( 9 x 885 ) / 2655

= 9 / 885

= 9

Step3:

LCM(3, 915) = 915

GCD(3, 915) = ( 3 x 915 ) / 915

= 3 / 915

= 3

So, Greatest Common Divisor of 684, 585, 885, 915 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 103, 172, 767, 787
• GCD of 941, 463, 590, 773
• GCD of 936, 532, 444, 896
• GCD of 482, 521, 413, 900
• GCD of 329, 242, 200, 680

Given numbers are 684, 585, 885, 915
The greatest common divisor of numbers 684, 585, 885, 915 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 585, 885, 915 is 3.

1. What is the GCD of 684, 585, 885, 915?

GCD of given numbers 684, 585, 885, 915 is 3

2. How to calculate the greatest common divisor of 684, 585, 885, 915?

We can find the highest common divisor of 684, 585, 885, 915 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 684, 585, 885, 915 i.e 3.

3. How can I use the GCD of 684, 585, 885, 915Calculator?

Out the numbers 684, 585, 885, 915 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.