GCD of 402, 828, 384, 170 Calculator

Given Input numbers are 402, 828, 384, 170

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 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

GCD of numbers is the greatest common divisor

So, the GCD (402, 828, 384, 170) = 2.

Given numbers are 402, 828, 384, 170

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 170 are 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 402, 828, 384, 170 is 2.

Given numbers are 402, 828, 384, 170

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

Apply this formula for all numbers.

Step1:

LCM(402, 828) = 55476

GCD(402, 828) = ( 402 x 828 ) / 55476

= 402 / 828

= 402

Step2:

LCM(6, 384) = 384

GCD(6, 384) = ( 6 x 384 ) / 384

= 6 / 384

= 6

Step3:

LCM(6, 170) = 510

GCD(6, 170) = ( 6 x 170 ) / 510

= 6 / 170

= 6

So, Greatest Common Divisor of 402, 828, 384, 170 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 130, 754, 249, 536
• GCD of 143, 409, 887, 721
• GCD of 342, 678, 629, 267
• GCD of 386, 794, 898, 988
• GCD of 603, 530, 120, 787

Given numbers are 402, 828, 384, 170
The greatest common divisor of numbers 402, 828, 384, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 828, 384, 170 is 2.

1. What is the GCD of 402, 828, 384, 170?

GCD of given numbers 402, 828, 384, 170 is 2

2. How to calculate the greatest common divisor of 402, 828, 384, 170?

We can find the highest common divisor of 402, 828, 384, 170 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, 828, 384, 170 i.e 2.

3. How can I use the GCD of 402, 828, 384, 170Calculator?

Out the numbers 402, 828, 384, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.