GCD of 598, 270, 66, 550 Calculator

Given Input numbers are 598, 270, 66, 550

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

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

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

Greatest Common Divisior

We found the divisors of 598, 270, 66, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 270, 66, 550 is 2.

Therefore, GCD of numbers 598, 270, 66, 550 is 2

Given Input Data is 598, 270, 66, 550

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 550 is 2 x 5 x 5 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(598, 270) = 80730

GCD(598, 270) = ( 598 x 270 ) / 80730

GCD(598, 270) = 161460 / 80730

GCD(598, 270) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

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

GCD of 598, 270, 66, 550 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 546, 56, 341
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• GCD of 718, 769, 53, 882
• GCD of 335, 255, 36, 149
• GCD of 106, 683, 98, 197

1. What is the GCD of 598, 270, 66, 550?

GCD of 598, 270, 66, 550 is 2

2. Where do I get the detailed procedure to find GCD of 598, 270, 66, 550?

You can find a detailed procedure to find GCD of 598, 270, 66, 550 on our page.

3. How to find GCD of 598, 270, 66, 550 on a calculator?

You can find the GCD of 598, 270, 66, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.