GCD of 360, 359, 266, 182 Calculator

Given Input numbers are 360, 359, 266, 182

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

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 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Greatest Common Divisior

We found the divisors of 360, 359, 266, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 359, 266, 182 is 1.

Therefore, GCD of numbers 360, 359, 266, 182 is 1

Given Input Data is 360, 359, 266, 182

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 359 is 359

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 182 is 2 x 7 x 13

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(360, 359) = 129240

GCD(360, 359) = ( 360 x 359 ) / 129240

GCD(360, 359) = 129240 / 129240

GCD(360, 359) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 266

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

LCM(1, 266) = 266

GCD(1, 266) = ( 1 x 266 ) / 266

GCD(1, 266) = 266 / 266

GCD(1, 266) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 182

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

LCM(1, 182) = 182

GCD(1, 182) = ( 1 x 182 ) / 182

GCD(1, 182) = 182 / 182

GCD(1, 182) = 1

GCD of 360, 359, 266, 182 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 163, 651, 631, 539
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• GCD of 289, 751, 893, 370

1. What is the GCD of 360, 359, 266, 182?

GCD of 360, 359, 266, 182 is 1

2. Where do I get the detailed procedure to find GCD of 360, 359, 266, 182?

You can find a detailed procedure to find GCD of 360, 359, 266, 182 on our page.

3. How to find GCD of 360, 359, 266, 182 on a calculator?

You can find the GCD of 360, 359, 266, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.