GCD of 170, 864, 829, 828 Calculator

Given Input numbers are 170, 864, 829, 828

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

Divisors of 170 :

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

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

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

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

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

GCD of numbers is the greatest common divisor

So, the GCD (170, 864, 829, 828) = 1.

Given numbers are 170, 864, 829, 828

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

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

Prime factors of 829 are 829

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 170, 864, 829, 828

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

Apply this formula for all numbers.

Step1:

LCM(170, 864) = 73440

GCD(170, 864) = ( 170 x 864 ) / 73440

= 170 / 864

= 170

Step2:

LCM(2, 829) = 1658

GCD(2, 829) = ( 2 x 829 ) / 1658

= 2 / 829

= 2

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 170, 864, 829, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 207, 325, 742, 133
• GCD of 144, 776, 504, 371
• GCD of 468, 273, 168, 727
• GCD of 413, 247, 194, 960
• GCD of 651, 531, 799, 100

Given numbers are 170, 864, 829, 828
The greatest common divisor of numbers 170, 864, 829, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 864, 829, 828 is 1.

1. What is the GCD of 170, 864, 829, 828?

GCD of given numbers 170, 864, 829, 828 is 1

2. How to calculate the greatest common divisor of 170, 864, 829, 828?

We can find the highest common divisor of 170, 864, 829, 828 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 170, 864, 829, 828 i.e 1.

3. How can I use the GCD of 170, 864, 829, 828Calculator?

Out the numbers 170, 864, 829, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.