GCD of 360, 938, 133 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 360, 938, 133 i.e. 1 largest integer that divides all the numbers equally.

GCD of 360, 938, 133 is 1

GCD(360, 938, 133) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 360, 938, 133 is 1

GCD(360, 938, 133) = 1

GCD of 360,938,133 Calculator

GCDof 360,938,133 is 1

Given Input numbers are 360, 938, 133

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 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 360, 938, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 938, 133 is 1.

Therefore, GCD of numbers 360, 938, 133 is 1

Finding GCD of 360, 938, 133 using Prime Factorization

Given Input Data is 360, 938, 133

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 938 is 2 x 7 x 67

Prime Factorization of 133 is 7 x 19

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 360, 938, 133 using LCM Formula

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, 938) = 168840

GCD(360, 938) = ( 360 x 938 ) / 168840

GCD(360, 938) = 337680 / 168840

GCD(360, 938) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 133

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

LCM(2, 133) = 266

GCD(2, 133) = ( 2 x 133 ) / 266

GCD(2, 133) = 266 / 266

GCD(2, 133) = 1

GCD of 360, 938, 133 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 360, 938, 133

1. What is the GCD of 360, 938, 133?

GCD of 360, 938, 133 is 1

2. Where do I get the detailed procedure to find GCD of 360, 938, 133?

You can find a detailed procedure to find GCD of 360, 938, 133 on our page.

3. How to find GCD of 360, 938, 133 on a calculator?

You can find the GCD of 360, 938, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.