GCD of 225, 200, 44, 101 Calculator

Given Input numbers are 225, 200, 44, 101

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

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 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Greatest Common Divisior

We found the divisors of 225, 200, 44, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 200, 44, 101 is 1.

Therefore, GCD of numbers 225, 200, 44, 101 is 1

Given Input Data is 225, 200, 44, 101

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

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

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 101 is 101

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(225, 200) = 1800

GCD(225, 200) = ( 225 x 200 ) / 1800

GCD(225, 200) = 45000 / 1800

GCD(225, 200) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 44

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

LCM(25, 44) = 1100

GCD(25, 44) = ( 25 x 44 ) / 1100

GCD(25, 44) = 1100 / 1100

GCD(25, 44) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

GCD of 225, 200, 44, 101 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 439, 803, 42, 841
• GCD of 163, 892, 61, 236
• GCD of 716, 478, 82, 767
• GCD of 161, 251, 21, 603
• GCD of 999, 107, 45, 142

1. What is the GCD of 225, 200, 44, 101?

GCD of 225, 200, 44, 101 is 1

2. Where do I get the detailed procedure to find GCD of 225, 200, 44, 101?

You can find a detailed procedure to find GCD of 225, 200, 44, 101 on our page.

3. How to find GCD of 225, 200, 44, 101 on a calculator?

You can find the GCD of 225, 200, 44, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.