GCD of 144, 662, 252 Calculator

Given Input numbers are 144, 662, 252

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

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 144, 662, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 662, 252 is 2.

Therefore, GCD of numbers 144, 662, 252 is 2

Given Input Data is 144, 662, 252

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 662 is 2 x 331

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

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(144, 662) = 47664

GCD(144, 662) = ( 144 x 662 ) / 47664

GCD(144, 662) = 95328 / 47664

GCD(144, 662) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 252

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

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

GCD(2, 252) = 504 / 252

GCD(2, 252) = 2

GCD of 144, 662, 252 is 2

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• GCD of 158, 340, 853
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1. What is the GCD of 144, 662, 252?

GCD of 144, 662, 252 is 2

2. Where do I get the detailed procedure to find GCD of 144, 662, 252?

You can find a detailed procedure to find GCD of 144, 662, 252 on our page.

3. How to find GCD of 144, 662, 252 on a calculator?

You can find the GCD of 144, 662, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.