GCD of 914, 170, 81, 960 Calculator

Given Input numbers are 914, 170, 81, 960

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

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

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 914, 170, 81, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 170, 81, 960 is 1.

Therefore, GCD of numbers 914, 170, 81, 960 is 1

Given Input Data is 914, 170, 81, 960

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 914 is 2 x 457

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(914, 170) = 77690

GCD(914, 170) = ( 914 x 170 ) / 77690

GCD(914, 170) = 155380 / 77690

GCD(914, 170) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 81

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

LCM(2, 81) = 162

GCD(2, 81) = ( 2 x 81 ) / 162

GCD(2, 81) = 162 / 162

GCD(2, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 914, 170, 81, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 541, 123, 38, 404
• GCD of 734, 354, 85, 979
• GCD of 248, 934, 27, 366
• GCD of 971, 910, 35, 405
• GCD of 715, 454, 78, 267

1. What is the GCD of 914, 170, 81, 960?

GCD of 914, 170, 81, 960 is 1

2. Where do I get the detailed procedure to find GCD of 914, 170, 81, 960?

You can find a detailed procedure to find GCD of 914, 170, 81, 960 on our page.

3. How to find GCD of 914, 170, 81, 960 on a calculator?

You can find the GCD of 914, 170, 81, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.