GCD of 111, 225, 14, 724 Calculator

Given Input numbers are 111, 225, 14, 724

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

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 14

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

1, 2, 7, 14

Divisors of 724

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

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 111, 225, 14, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 225, 14, 724 is 1.

Therefore, GCD of numbers 111, 225, 14, 724 is 1

Given Input Data is 111, 225, 14, 724

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

Prime Factorization of 111 is 3 x 37

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 14 is 2 x 7

Prime Factorization of 724 is 2 x 2 x 181

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(111, 225) = 8325

GCD(111, 225) = ( 111 x 225 ) / 8325

GCD(111, 225) = 24975 / 8325

GCD(111, 225) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 14

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

LCM(3, 14) = 42

GCD(3, 14) = ( 3 x 14 ) / 42

GCD(3, 14) = 42 / 42

GCD(3, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 111, 225, 14, 724 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 680, 565, 74, 880
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• GCD of 434, 305, 96, 730
• GCD of 103, 447, 87, 819
• GCD of 173, 848, 62, 956

1. What is the GCD of 111, 225, 14, 724?

GCD of 111, 225, 14, 724 is 1

2. Where do I get the detailed procedure to find GCD of 111, 225, 14, 724?

You can find a detailed procedure to find GCD of 111, 225, 14, 724 on our page.

3. How to find GCD of 111, 225, 14, 724 on a calculator?

You can find the GCD of 111, 225, 14, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.