GCD of 200, 603, 61, 414 Calculator

Given Input numbers are 200, 603, 61, 414

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

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 603

List of positive integer divisors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 200, 603, 61, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 603, 61, 414 is 1.

Therefore, GCD of numbers 200, 603, 61, 414 is 1

Given Input Data is 200, 603, 61, 414

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

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

Prime Factorization of 603 is 3 x 3 x 67

Prime Factorization of 61 is 61

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(200, 603) = 120600

GCD(200, 603) = ( 200 x 603 ) / 120600

GCD(200, 603) = 120600 / 120600

GCD(200, 603) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 200, 603, 61, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 618, 256, 43, 239
• GCD of 893, 198, 73, 827
• GCD of 301, 955, 40, 412
• GCD of 959, 207, 72, 883
• GCD of 104, 628, 92, 911

1. What is the GCD of 200, 603, 61, 414?

GCD of 200, 603, 61, 414 is 1

2. Where do I get the detailed procedure to find GCD of 200, 603, 61, 414?

You can find a detailed procedure to find GCD of 200, 603, 61, 414 on our page.

3. How to find GCD of 200, 603, 61, 414 on a calculator?

You can find the GCD of 200, 603, 61, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.