GCD of 18, 550, 848, 684 Calculator

Given Input numbers are 18, 550, 848, 684

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

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 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 18, 550, 848, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 550, 848, 684 is 2.

Therefore, GCD of numbers 18, 550, 848, 684 is 2

Given Input Data is 18, 550, 848, 684

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

Prime Factorization of 18 is 2 x 3 x 3

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

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(18, 550) = 4950

GCD(18, 550) = ( 18 x 550 ) / 4950

GCD(18, 550) = 9900 / 4950

GCD(18, 550) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 848

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

LCM(2, 848) = 848

GCD(2, 848) = ( 2 x 848 ) / 848

GCD(2, 848) = 1696 / 848

GCD(2, 848) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 684

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

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

GCD(2, 684) = 1368 / 684

GCD(2, 684) = 2

GCD of 18, 550, 848, 684 is 2

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1. What is the GCD of 18, 550, 848, 684?

GCD of 18, 550, 848, 684 is 2

2. Where do I get the detailed procedure to find GCD of 18, 550, 848, 684?

You can find a detailed procedure to find GCD of 18, 550, 848, 684 on our page.

3. How to find GCD of 18, 550, 848, 684 on a calculator?

You can find the GCD of 18, 550, 848, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.