GCD of 402, 522, 864 Calculator

Given Input numbers are 402, 522, 864

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

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

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

GCD of numbers is the greatest common divisor

So, the GCD (402, 522, 864) = 6.

Given numbers are 402, 522, 864

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 522 are 2 x 3 x 3 x 29

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 402, 522, 864 is 6.

Given numbers are 402, 522, 864

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

Apply this formula for all numbers.

Step1:

LCM(402, 522) = 34974

GCD(402, 522) = ( 402 x 522 ) / 34974

= 402 / 522

= 402

Step2:

LCM(6, 864) = 864

GCD(6, 864) = ( 6 x 864 ) / 864

= 6 / 864

= 6

So, Greatest Common Divisor of 402, 522, 864 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 562, 418, 705
• GCD of 149, 892, 714
• GCD of 615, 287, 834
• GCD of 179, 171, 867
• GCD of 658, 141, 654

Given numbers are 402, 522, 864
The greatest common divisor of numbers 402, 522, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 522, 864 is 6.

1. What is the GCD of 402, 522, 864?

GCD of given numbers 402, 522, 864 is 6

2. How to calculate the greatest common divisor of 402, 522, 864?

We can find the highest common divisor of 402, 522, 864 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 402, 522, 864 i.e 6.

3. How can I use the GCD of 402, 522, 864Calculator?

Out the numbers 402, 522, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.