GCD of 822, 324, 435, 240 Calculator

Given Input numbers are 822, 324, 435, 240

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

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

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 (822, 324, 435, 240) = 3.

Given numbers are 822, 324, 435, 240

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 435 are 3 x 5 x 29

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 822, 324, 435, 240 is 3.

Given numbers are 822, 324, 435, 240

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

Apply this formula for all numbers.

Step1:

LCM(822, 324) = 44388

GCD(822, 324) = ( 822 x 324 ) / 44388

= 822 / 324

= 822

Step2:

LCM(6, 435) = 870

GCD(6, 435) = ( 6 x 435 ) / 870

= 6 / 435

= 6

Step3:

LCM(3, 240) = 240

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

= 3 / 240

= 3

So, Greatest Common Divisor of 822, 324, 435, 240 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 228, 381, 170
• GCD of 553, 512, 287, 362
• GCD of 179, 493, 151, 388
• GCD of 391, 514, 110, 528
• GCD of 566, 468, 612, 507

Given numbers are 822, 324, 435, 240
The greatest common divisor of numbers 822, 324, 435, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 324, 435, 240 is 3.

1. What is the GCD of 822, 324, 435, 240?

GCD of given numbers 822, 324, 435, 240 is 3

2. How to calculate the greatest common divisor of 822, 324, 435, 240?

We can find the highest common divisor of 822, 324, 435, 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 822, 324, 435, 240 i.e 3.

3. How can I use the GCD of 822, 324, 435, 240Calculator?

Out the numbers 822, 324, 435, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.