GCD of 124, 100, 629, 225 Calculator

Given Input numbers are 124, 100, 629, 225

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

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

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 124, 100, 629, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 100, 629, 225 is 1.

Therefore, GCD of numbers 124, 100, 629, 225 is 1

Given Input Data is 124, 100, 629, 225

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

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 629 is 17 x 37

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(124, 100) = 3100

GCD(124, 100) = ( 124 x 100 ) / 3100

GCD(124, 100) = 12400 / 3100

GCD(124, 100) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 629

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

LCM(4, 629) = 2516

GCD(4, 629) = ( 4 x 629 ) / 2516

GCD(4, 629) = 2516 / 2516

GCD(4, 629) = 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 124, 100, 629, 225 is 1

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• GCD of 770, 984, 340, 855
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• GCD of 584, 952, 675, 899

1. What is the GCD of 124, 100, 629, 225?

GCD of 124, 100, 629, 225 is 1

2. Where do I get the detailed procedure to find GCD of 124, 100, 629, 225?

You can find a detailed procedure to find GCD of 124, 100, 629, 225 on our page.

3. How to find GCD of 124, 100, 629, 225 on a calculator?

You can find the GCD of 124, 100, 629, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.