GCD of 170, 808, 864, 956 Calculator

Given Input numbers are 170, 808, 864, 956

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 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

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 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

GCD of numbers is the greatest common divisor

So, the GCD (170, 808, 864, 956) = 2.

Given numbers are 170, 808, 864, 956

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 808 are 2 x 2 x 2 x 101

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

Prime factors of 956 are 2 x 2 x 239

The highest common occurrence is 2¹

Therefore, GCD of 170, 808, 864, 956 is 2.

Given numbers are 170, 808, 864, 956

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

Apply this formula for all numbers.

Step1:

LCM(170, 808) = 68680

GCD(170, 808) = ( 170 x 808 ) / 68680

= 170 / 808

= 170

Step2:

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

= 2 / 864

= 2

Step3:

LCM(2, 956) = 956

GCD(2, 956) = ( 2 x 956 ) / 956

= 2 / 956

= 2

So, Greatest Common Divisor of 170, 808, 864, 956 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 291, 276, 412, 990
• GCD of 594, 788, 917, 473
• GCD of 291, 525, 345, 654
• GCD of 520, 350, 129, 866
• GCD of 429, 676, 349, 863

Given numbers are 170, 808, 864, 956
The greatest common divisor of numbers 170, 808, 864, 956 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 808, 864, 956 is 2.

1. What is the GCD of 170, 808, 864, 956?

GCD of given numbers 170, 808, 864, 956 is 2

2. How to calculate the greatest common divisor of 170, 808, 864, 956?

We can find the highest common divisor of 170, 808, 864, 956 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, 808, 864, 956 i.e 2.

3. How can I use the GCD of 170, 808, 864, 956Calculator?

Out the numbers 170, 808, 864, 956 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.