GCD of 180, 266, 31, 488 Calculator

Given Input numbers are 180, 266, 31, 488

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 180, 266, 31, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 266, 31, 488 is 1.

Therefore, GCD of numbers 180, 266, 31, 488 is 1

Given Input Data is 180, 266, 31, 488

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 31 is 31

Prime Factorization of 488 is 2 x 2 x 2 x 61

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(180, 266) = 23940

GCD(180, 266) = ( 180 x 266 ) / 23940

GCD(180, 266) = 47880 / 23940

GCD(180, 266) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 488

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

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

GCD(1, 488) = 488 / 488

GCD(1, 488) = 1

GCD of 180, 266, 31, 488 is 1

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• GCD of 266, 350, 31, 935
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• GCD of 291, 222, 98, 275

1. What is the GCD of 180, 266, 31, 488?

GCD of 180, 266, 31, 488 is 1

2. Where do I get the detailed procedure to find GCD of 180, 266, 31, 488?

You can find a detailed procedure to find GCD of 180, 266, 31, 488 on our page.

3. How to find GCD of 180, 266, 31, 488 on a calculator?

You can find the GCD of 180, 266, 31, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.