GCD of 693, 120, 116, 225 Calculator

Given Input numbers are 693, 120, 116, 225

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

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

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

Greatest Common Divisior

We found the divisors of 693, 120, 116, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 120, 116, 225 is 1.

Therefore, GCD of numbers 693, 120, 116, 225 is 1

Given Input Data is 693, 120, 116, 225

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

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 225 is 3 x 3 x 5 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(693, 120) = 27720

GCD(693, 120) = ( 693 x 120 ) / 27720

GCD(693, 120) = 83160 / 27720

GCD(693, 120) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 116

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

LCM(3, 116) = 348

GCD(3, 116) = ( 3 x 116 ) / 348

GCD(3, 116) = 348 / 348

GCD(3, 116) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

GCD of 693, 120, 116, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 289, 833, 393, 652
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• GCD of 255, 458, 105, 477
• GCD of 999, 447, 834, 940

1. What is the GCD of 693, 120, 116, 225?

GCD of 693, 120, 116, 225 is 1

2. Where do I get the detailed procedure to find GCD of 693, 120, 116, 225?

You can find a detailed procedure to find GCD of 693, 120, 116, 225 on our page.

3. How to find GCD of 693, 120, 116, 225 on a calculator?

You can find the GCD of 693, 120, 116, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.