GCD of 550, 253, 66 Calculator

Given Input numbers are 550, 253, 66

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

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 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 66

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

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

Greatest Common Divisior

We found the divisors of 550, 253, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 253, 66 is 11.

Therefore, GCD of numbers 550, 253, 66 is 11

Given Input Data is 550, 253, 66

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

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

Prime Factorization of 253 is 11 x 23

Prime Factorization of 66 is 2 x 3 x 11

Highest common occurrences in the given inputs are 11¹

Multiplying them we get the GCD as 11

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(550, 253) = 12650

GCD(550, 253) = ( 550 x 253 ) / 12650

GCD(550, 253) = 139150 / 12650

GCD(550, 253) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 66

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

LCM(11, 66) = 66

GCD(11, 66) = ( 11 x 66 ) / 66

GCD(11, 66) = 726 / 66

GCD(11, 66) = 11

GCD of 550, 253, 66 is 11

Here are some samples of GCD of Numbers calculations.

• GCD of 622, 798, 46
• GCD of 674, 593, 30
• GCD of 397, 935, 39
• GCD of 356, 993, 63
• GCD of 883, 168, 58

1. What is the GCD of 550, 253, 66?

GCD of 550, 253, 66 is 11

2. Where do I get the detailed procedure to find GCD of 550, 253, 66?

You can find a detailed procedure to find GCD of 550, 253, 66 on our page.

3. How to find GCD of 550, 253, 66 on a calculator?

You can find the GCD of 550, 253, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.