GCD of 914, 159, 214, 955 Calculator

Given Input numbers are 914, 159, 214, 955

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 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Greatest Common Divisior

We found the divisors of 914, 159, 214, 955 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 159, 214, 955 is 1.

Therefore, GCD of numbers 914, 159, 214, 955 is 1

Given Input Data is 914, 159, 214, 955

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 159 is 3 x 53

Prime Factorization of 214 is 2 x 107

Prime Factorization of 955 is 5 x 191

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, 159) = 145326

GCD(914, 159) = ( 914 x 159 ) / 145326

GCD(914, 159) = 145326 / 145326

GCD(914, 159) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 955

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

LCM(1, 955) = 955

GCD(1, 955) = ( 1 x 955 ) / 955

GCD(1, 955) = 955 / 955

GCD(1, 955) = 1

GCD of 914, 159, 214, 955 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 858, 516, 259, 628
• GCD of 812, 721, 212, 318
• GCD of 829, 486, 889, 399
• GCD of 906, 340, 947, 639
• GCD of 886, 495, 854, 792

1. What is the GCD of 914, 159, 214, 955?

GCD of 914, 159, 214, 955 is 1

2. Where do I get the detailed procedure to find GCD of 914, 159, 214, 955?

You can find a detailed procedure to find GCD of 914, 159, 214, 955 on our page.

3. How to find GCD of 914, 159, 214, 955 on a calculator?

You can find the GCD of 914, 159, 214, 955 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.