GCD of 119, 360, 37, 104 Calculator

Given Input numbers are 119, 360, 37, 104

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

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

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 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Greatest Common Divisior

We found the divisors of 119, 360, 37, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 360, 37, 104 is 1.

Therefore, GCD of numbers 119, 360, 37, 104 is 1

Given Input Data is 119, 360, 37, 104

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

Prime Factorization of 119 is 7 x 17

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

Prime Factorization of 37 is 37

Prime Factorization of 104 is 2 x 2 x 2 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(119, 360) = 42840

GCD(119, 360) = ( 119 x 360 ) / 42840

GCD(119, 360) = 42840 / 42840

GCD(119, 360) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

GCD of 119, 360, 37, 104 is 1

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• GCD of 838, 727, 62, 448
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1. What is the GCD of 119, 360, 37, 104?

GCD of 119, 360, 37, 104 is 1

2. Where do I get the detailed procedure to find GCD of 119, 360, 37, 104?

You can find a detailed procedure to find GCD of 119, 360, 37, 104 on our page.

3. How to find GCD of 119, 360, 37, 104 on a calculator?

You can find the GCD of 119, 360, 37, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.