GCD of 243, 217, 532, 144 Calculator

Given Input numbers are 243, 217, 532, 144

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

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

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

Greatest Common Divisior

We found the divisors of 243, 217, 532, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 217, 532, 144 is 1.

Therefore, GCD of numbers 243, 217, 532, 144 is 1

Given Input Data is 243, 217, 532, 144

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

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 217 is 7 x 31

Prime Factorization of 532 is 2 x 2 x 7 x 19

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

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(243, 217) = 52731

GCD(243, 217) = ( 243 x 217 ) / 52731

GCD(243, 217) = 52731 / 52731

GCD(243, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 532

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

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

GCD(1, 532) = 532 / 532

GCD(1, 532) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 243, 217, 532, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 256, 108, 814, 489
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• GCD of 270, 471, 283, 476
• GCD of 738, 979, 843, 320
• GCD of 550, 161, 167, 799

1. What is the GCD of 243, 217, 532, 144?

GCD of 243, 217, 532, 144 is 1

2. Where do I get the detailed procedure to find GCD of 243, 217, 532, 144?

You can find a detailed procedure to find GCD of 243, 217, 532, 144 on our page.

3. How to find GCD of 243, 217, 532, 144 on a calculator?

You can find the GCD of 243, 217, 532, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.