GCD of 914, 164, 73, 721 Calculator

Given Input numbers are 914, 164, 73, 721

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 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Greatest Common Divisior

We found the divisors of 914, 164, 73, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 164, 73, 721 is 1.

Therefore, GCD of numbers 914, 164, 73, 721 is 1

Given Input Data is 914, 164, 73, 721

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 73 is 73

Prime Factorization of 721 is 7 x 103

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, 164) = 74948

GCD(914, 164) = ( 914 x 164 ) / 74948

GCD(914, 164) = 149896 / 74948

GCD(914, 164) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 73

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

LCM(2, 73) = 146

GCD(2, 73) = ( 2 x 73 ) / 146

GCD(2, 73) = 146 / 146

GCD(2, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

GCD of 914, 164, 73, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 508, 967, 40, 592
• GCD of 457, 154, 13, 234
• GCD of 834, 136, 93, 875
• GCD of 837, 168, 68, 415
• GCD of 314, 828, 83, 156

1. What is the GCD of 914, 164, 73, 721?

GCD of 914, 164, 73, 721 is 1

2. Where do I get the detailed procedure to find GCD of 914, 164, 73, 721?

You can find a detailed procedure to find GCD of 914, 164, 73, 721 on our page.

3. How to find GCD of 914, 164, 73, 721 on a calculator?

You can find the GCD of 914, 164, 73, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.