GCD of 203, 410, 42, 987 Calculator

Given Input numbers are 203, 410, 42, 987

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

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Greatest Common Divisior

We found the divisors of 203, 410, 42, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 203, 410, 42, 987 is 1.

Therefore, GCD of numbers 203, 410, 42, 987 is 1

Given Input Data is 203, 410, 42, 987

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

Prime Factorization of 203 is 7 x 29

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 987 is 3 x 7 x 47

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(203, 410) = 83230

GCD(203, 410) = ( 203 x 410 ) / 83230

GCD(203, 410) = 83230 / 83230

GCD(203, 410) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

GCD of 203, 410, 42, 987 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 300, 550, 55, 106
• GCD of 350, 282, 80, 960
• GCD of 719, 712, 41, 689
• GCD of 482, 982, 45, 664
• GCD of 494, 317, 44, 387

1. What is the GCD of 203, 410, 42, 987?

GCD of 203, 410, 42, 987 is 1

2. Where do I get the detailed procedure to find GCD of 203, 410, 42, 987?

You can find a detailed procedure to find GCD of 203, 410, 42, 987 on our page.

3. How to find GCD of 203, 410, 42, 987 on a calculator?

You can find the GCD of 203, 410, 42, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.