GCD of 360, 553, 470 Calculator

Given Input numbers are 360, 553, 470

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 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 360, 553, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 553, 470 is 1.

Therefore, GCD of numbers 360, 553, 470 is 1

Given Input Data is 360, 553, 470

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 553 is 7 x 79

Prime Factorization of 470 is 2 x 5 x 47

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, 553) = 199080

GCD(360, 553) = ( 360 x 553 ) / 199080

GCD(360, 553) = 199080 / 199080

GCD(360, 553) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

GCD of 360, 553, 470 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 823, 398, 720
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• GCD of 579, 785, 752
• GCD of 247, 911, 699

1. What is the GCD of 360, 553, 470?

GCD of 360, 553, 470 is 1

2. Where do I get the detailed procedure to find GCD of 360, 553, 470?

You can find a detailed procedure to find GCD of 360, 553, 470 on our page.

3. How to find GCD of 360, 553, 470 on a calculator?

You can find the GCD of 360, 553, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.