GCD of 360, 739, 231, 110 Calculator

Given Input numbers are 360, 739, 231, 110

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 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Greatest Common Divisior

We found the divisors of 360, 739, 231, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 739, 231, 110 is 1.

Therefore, GCD of numbers 360, 739, 231, 110 is 1

Given Input Data is 360, 739, 231, 110

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 739 is 739

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 110 is 2 x 5 x 11

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, 739) = 266040

GCD(360, 739) = ( 360 x 739 ) / 266040

GCD(360, 739) = 266040 / 266040

GCD(360, 739) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 110

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

LCM(1, 110) = 110

GCD(1, 110) = ( 1 x 110 ) / 110

GCD(1, 110) = 110 / 110

GCD(1, 110) = 1

GCD of 360, 739, 231, 110 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 122, 929, 405
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• GCD of 240, 133, 854, 117

1. What is the GCD of 360, 739, 231, 110?

GCD of 360, 739, 231, 110 is 1

2. Where do I get the detailed procedure to find GCD of 360, 739, 231, 110?

You can find a detailed procedure to find GCD of 360, 739, 231, 110 on our page.

3. How to find GCD of 360, 739, 231, 110 on a calculator?

You can find the GCD of 360, 739, 231, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.