GCD of 814, 150, 328, 170 Calculator

Given Input numbers are 814, 150, 328, 170

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

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 (814, 150, 328, 170) = 2.

Given numbers are 814, 150, 328, 170

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 170 are 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 814, 150, 328, 170 is 2.

Given numbers are 814, 150, 328, 170

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

Apply this formula for all numbers.

Step1:

LCM(814, 150) = 61050

GCD(814, 150) = ( 814 x 150 ) / 61050

= 814 / 150

= 814

Step2:

LCM(2, 328) = 328

GCD(2, 328) = ( 2 x 328 ) / 328

= 2 / 328

= 2

Step3:

LCM(2, 170) = 170

GCD(2, 170) = ( 2 x 170 ) / 170

= 2 / 170

= 2

So, Greatest Common Divisor of 814, 150, 328, 170 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 526, 436, 704
• GCD of 961, 982, 309, 279
• GCD of 993, 665, 164, 105
• GCD of 203, 173, 756, 798
• GCD of 440, 298, 898, 671

Given numbers are 814, 150, 328, 170
The greatest common divisor of numbers 814, 150, 328, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 150, 328, 170 is 2.

1. What is the GCD of 814, 150, 328, 170?

GCD of given numbers 814, 150, 328, 170 is 2

2. How to calculate the greatest common divisor of 814, 150, 328, 170?

We can find the highest common divisor of 814, 150, 328, 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 814, 150, 328, 170 i.e 2.

3. How can I use the GCD of 814, 150, 328, 170Calculator?

Out the numbers 814, 150, 328, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.