GCD of 648, 156, 11, 252 Calculator

Given Input numbers are 648, 156, 11, 252

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

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

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

Greatest Common Divisior

We found the divisors of 648, 156, 11, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 156, 11, 252 is 1.

Therefore, GCD of numbers 648, 156, 11, 252 is 1

Given Input Data is 648, 156, 11, 252

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 11 is 11

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

The above numbers do not have any common prime factor. So GCD is 1

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(648, 156) = 8424

GCD(648, 156) = ( 648 x 156 ) / 8424

GCD(648, 156) = 101088 / 8424

GCD(648, 156) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 11

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

LCM(12, 11) = 132

GCD(12, 11) = ( 12 x 11 ) / 132

GCD(12, 11) = 132 / 132

GCD(12, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 252

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

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

GCD(1, 252) = 252 / 252

GCD(1, 252) = 1

GCD of 648, 156, 11, 252 is 1

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1. What is the GCD of 648, 156, 11, 252?

GCD of 648, 156, 11, 252 is 1

2. Where do I get the detailed procedure to find GCD of 648, 156, 11, 252?

You can find a detailed procedure to find GCD of 648, 156, 11, 252 on our page.

3. How to find GCD of 648, 156, 11, 252 on a calculator?

You can find the GCD of 648, 156, 11, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.