GCD of 438, 868, 550, 987 Calculator

Given Input numbers are 438, 868, 550, 987

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

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 438, 868, 550, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 868, 550, 987 is 1.

Therefore, GCD of numbers 438, 868, 550, 987 is 1

Given Input Data is 438, 868, 550, 987

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 550 is 2 x 5 x 5 x 11

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(438, 868) = 190092

GCD(438, 868) = ( 438 x 868 ) / 190092

GCD(438, 868) = 380184 / 190092

GCD(438, 868) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 550

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

LCM(2, 550) = 550

GCD(2, 550) = ( 2 x 550 ) / 550

GCD(2, 550) = 1100 / 550

GCD(2, 550) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 987

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

LCM(2, 987) = 1974

GCD(2, 987) = ( 2 x 987 ) / 1974

GCD(2, 987) = 1974 / 1974

GCD(2, 987) = 1

GCD of 438, 868, 550, 987 is 1

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1. What is the GCD of 438, 868, 550, 987?

GCD of 438, 868, 550, 987 is 1

2. Where do I get the detailed procedure to find GCD of 438, 868, 550, 987?

You can find a detailed procedure to find GCD of 438, 868, 550, 987 on our page.

3. How to find GCD of 438, 868, 550, 987 on a calculator?

You can find the GCD of 438, 868, 550, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.