GCD of 219, 588, 66, 126 Calculator

Given Input numbers are 219, 588, 66, 126

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

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

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 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Greatest Common Divisior

We found the divisors of 219, 588, 66, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 219, 588, 66, 126 is 3.

Therefore, GCD of numbers 219, 588, 66, 126 is 3

Given Input Data is 219, 588, 66, 126

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

Prime Factorization of 219 is 3 x 73

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 126 is 2 x 3 x 3 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(219, 588) = 42924

GCD(219, 588) = ( 219 x 588 ) / 42924

GCD(219, 588) = 128772 / 42924

GCD(219, 588) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 66

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

LCM(3, 66) = 66

GCD(3, 66) = ( 3 x 66 ) / 66

GCD(3, 66) = 198 / 66

GCD(3, 66) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 126

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

LCM(3, 126) = 126

GCD(3, 126) = ( 3 x 126 ) / 126

GCD(3, 126) = 378 / 126

GCD(3, 126) = 3

GCD of 219, 588, 66, 126 is 3

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• GCD of 815, 360, 12, 941
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• GCD of 358, 129, 90, 170
• GCD of 278, 165, 14, 243

1. What is the GCD of 219, 588, 66, 126?

GCD of 219, 588, 66, 126 is 3

2. Where do I get the detailed procedure to find GCD of 219, 588, 66, 126?

You can find a detailed procedure to find GCD of 219, 588, 66, 126 on our page.

3. How to find GCD of 219, 588, 66, 126 on a calculator?

You can find the GCD of 219, 588, 66, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.