GCD of 66, 252, 459, 102 Calculator

Given Input numbers are 66, 252, 459, 102

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

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 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 66, 252, 459, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 252, 459, 102 is 3.

Therefore, GCD of numbers 66, 252, 459, 102 is 3

Given Input Data is 66, 252, 459, 102

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 102 is 2 x 3 x 17

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(66, 252) = 2772

GCD(66, 252) = ( 66 x 252 ) / 2772

GCD(66, 252) = 16632 / 2772

GCD(66, 252) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 459

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

LCM(6, 459) = 918

GCD(6, 459) = ( 6 x 459 ) / 918

GCD(6, 459) = 2754 / 918

GCD(6, 459) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 102

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

LCM(3, 102) = 102

GCD(3, 102) = ( 3 x 102 ) / 102

GCD(3, 102) = 306 / 102

GCD(3, 102) = 3

GCD of 66, 252, 459, 102 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 202, 156, 459
• GCD of 61, 465, 761, 426
• GCD of 50, 569, 337, 572
• GCD of 45, 185, 657, 854
• GCD of 19, 322, 928, 839

1. What is the GCD of 66, 252, 459, 102?

GCD of 66, 252, 459, 102 is 3

2. Where do I get the detailed procedure to find GCD of 66, 252, 459, 102?

You can find a detailed procedure to find GCD of 66, 252, 459, 102 on our page.

3. How to find GCD of 66, 252, 459, 102 on a calculator?

You can find the GCD of 66, 252, 459, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.