GCD of 152, 724, 14, 439 Calculator

Given Input numbers are 152, 724, 14, 439

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 439

List of positive integer divisors of 439 that divides 439 without a remainder.

1, 439

Greatest Common Divisior

We found the divisors of 152, 724, 14, 439 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 724, 14, 439 is 1.

Therefore, GCD of numbers 152, 724, 14, 439 is 1

Given Input Data is 152, 724, 14, 439

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 14 is 2 x 7

Prime Factorization of 439 is 439

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(152, 724) = 27512

GCD(152, 724) = ( 152 x 724 ) / 27512

GCD(152, 724) = 110048 / 27512

GCD(152, 724) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 14

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

LCM(4, 14) = 28

GCD(4, 14) = ( 4 x 14 ) / 28

GCD(4, 14) = 56 / 28

GCD(4, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 439

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

LCM(2, 439) = 878

GCD(2, 439) = ( 2 x 439 ) / 878

GCD(2, 439) = 878 / 878

GCD(2, 439) = 1

GCD of 152, 724, 14, 439 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 894, 280, 76, 430
• GCD of 951, 877, 10, 157
• GCD of 723, 853, 83, 151
• GCD of 100, 531, 77, 736
• GCD of 790, 554, 48, 833

1. What is the GCD of 152, 724, 14, 439?

GCD of 152, 724, 14, 439 is 1

2. Where do I get the detailed procedure to find GCD of 152, 724, 14, 439?

You can find a detailed procedure to find GCD of 152, 724, 14, 439 on our page.

3. How to find GCD of 152, 724, 14, 439 on a calculator?

You can find the GCD of 152, 724, 14, 439 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.