GCD of 360, 488, 45, 739 Calculator

Given Input numbers are 360, 488, 45, 739

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 488

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

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 739

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

1, 739

Greatest Common Divisior

We found the divisors of 360, 488, 45, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 488, 45, 739 is 1.

Therefore, GCD of numbers 360, 488, 45, 739 is 1

Given Input Data is 360, 488, 45, 739

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 488 is 2 x 2 x 2 x 61

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 739 is 739

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, 488) = 21960

GCD(360, 488) = ( 360 x 488 ) / 21960

GCD(360, 488) = 175680 / 21960

GCD(360, 488) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 45

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

LCM(8, 45) = 360

GCD(8, 45) = ( 8 x 45 ) / 360

GCD(8, 45) = 360 / 360

GCD(8, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 739

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

LCM(1, 739) = 739

GCD(1, 739) = ( 1 x 739 ) / 739

GCD(1, 739) = 739 / 739

GCD(1, 739) = 1

GCD of 360, 488, 45, 739 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 209, 33, 615
• GCD of 462, 190, 56, 200
• GCD of 858, 467, 63, 111
• GCD of 398, 587, 82, 434
• GCD of 185, 122, 67, 209

1. What is the GCD of 360, 488, 45, 739?

GCD of 360, 488, 45, 739 is 1

2. Where do I get the detailed procedure to find GCD of 360, 488, 45, 739?

You can find a detailed procedure to find GCD of 360, 488, 45, 739 on our page.

3. How to find GCD of 360, 488, 45, 739 on a calculator?

You can find the GCD of 360, 488, 45, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.