GCD of 18, 548, 550, 770 Calculator

Given Input numbers are 18, 548, 550, 770

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 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

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 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Greatest Common Divisior

We found the divisors of 18, 548, 550, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 548, 550, 770 is 2.

Therefore, GCD of numbers 18, 548, 550, 770 is 2

Given Input Data is 18, 548, 550, 770

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 548 is 2 x 2 x 137

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

Prime Factorization of 770 is 2 x 5 x 7 x 11

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, 548) = 4932

GCD(18, 548) = ( 18 x 548 ) / 4932

GCD(18, 548) = 9864 / 4932

GCD(18, 548) = 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 770

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

LCM(2, 770) = 770

GCD(2, 770) = ( 2 x 770 ) / 770

GCD(2, 770) = 1540 / 770

GCD(2, 770) = 2

GCD of 18, 548, 550, 770 is 2

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• GCD of 71, 315, 287, 722
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• GCD of 37, 818, 875, 289

1. What is the GCD of 18, 548, 550, 770?

GCD of 18, 548, 550, 770 is 2

2. Where do I get the detailed procedure to find GCD of 18, 548, 550, 770?

You can find a detailed procedure to find GCD of 18, 548, 550, 770 on our page.

3. How to find GCD of 18, 548, 550, 770 on a calculator?

You can find the GCD of 18, 548, 550, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.