GCD of 933, 465, 585, 240 Calculator

Given Input numbers are 933, 465, 585, 240

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

Divisors of 933 :

The positive integer divisors of 933 that completely divides 933 are.

1, 3, 311, 933

Divisors of 465 :

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

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

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 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (933, 465, 585, 240) = 3.

Given numbers are 933, 465, 585, 240

The list of prime factors of all numbers are

Prime factors of 933 are 3 x 311

Prime factors of 465 are 3 x 5 x 31

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

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 933, 465, 585, 240 is 3.

Given numbers are 933, 465, 585, 240

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

Apply this formula for all numbers.

Step1:

LCM(933, 465) = 144615

GCD(933, 465) = ( 933 x 465 ) / 144615

= 933 / 465

= 933

Step2:

LCM(3, 585) = 585

GCD(3, 585) = ( 3 x 585 ) / 585

= 3 / 585

= 3

Step3:

LCM(3, 240) = 240

GCD(3, 240) = ( 3 x 240 ) / 240

= 3 / 240

= 3

So, Greatest Common Divisor of 933, 465, 585, 240 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 839, 649, 392, 210
• GCD of 280, 634, 813, 745
• GCD of 670, 419, 204, 795
• GCD of 857, 559, 723, 606
• GCD of 692, 589, 821, 140

Given numbers are 933, 465, 585, 240
The greatest common divisor of numbers 933, 465, 585, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 933, 465, 585, 240 is 3.

1. What is the GCD of 933, 465, 585, 240?

GCD of given numbers 933, 465, 585, 240 is 3

2. How to calculate the greatest common divisor of 933, 465, 585, 240?

We can find the highest common divisor of 933, 465, 585, 240 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 933, 465, 585, 240 i.e 3.

3. How can I use the GCD of 933, 465, 585, 240Calculator?

Out the numbers 933, 465, 585, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.