GCD of 618, 200, 148, 225 Calculator

Given Input numbers are 618, 200, 148, 225

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

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

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 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

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 618, 200, 148, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 618, 200, 148, 225 is 1.

Therefore, GCD of numbers 618, 200, 148, 225 is 1

Given Input Data is 618, 200, 148, 225

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

Prime Factorization of 618 is 2 x 3 x 103

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

Prime Factorization of 148 is 2 x 2 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(618, 200) = 61800

GCD(618, 200) = ( 618 x 200 ) / 61800

GCD(618, 200) = 123600 / 61800

GCD(618, 200) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 148

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

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

GCD(2, 148) = 296 / 148

GCD(2, 148) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 225

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

LCM(2, 225) = 450

GCD(2, 225) = ( 2 x 225 ) / 450

GCD(2, 225) = 450 / 450

GCD(2, 225) = 1

GCD of 618, 200, 148, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 372, 650, 112, 576
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• GCD of 614, 341, 154, 997
• GCD of 671, 909, 424, 764
• GCD of 673, 260, 898, 390

1. What is the GCD of 618, 200, 148, 225?

GCD of 618, 200, 148, 225 is 1

2. Where do I get the detailed procedure to find GCD of 618, 200, 148, 225?

You can find a detailed procedure to find GCD of 618, 200, 148, 225 on our page.

3. How to find GCD of 618, 200, 148, 225 on a calculator?

You can find the GCD of 618, 200, 148, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.