GCD of 34, 472, 360, 119 Calculator

Given Input numbers are 34, 472, 360, 119

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

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 119

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

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 34, 472, 360, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 472, 360, 119 is 1.

Therefore, GCD of numbers 34, 472, 360, 119 is 1

Given Input Data is 34, 472, 360, 119

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 472 is 2 x 2 x 2 x 59

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

Prime Factorization of 119 is 7 x 17

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(34, 472) = 8024

GCD(34, 472) = ( 34 x 472 ) / 8024

GCD(34, 472) = 16048 / 8024

GCD(34, 472) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 360

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

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

GCD(2, 360) = 720 / 360

GCD(2, 360) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 119

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

LCM(2, 119) = 238

GCD(2, 119) = ( 2 x 119 ) / 238

GCD(2, 119) = 238 / 238

GCD(2, 119) = 1

GCD of 34, 472, 360, 119 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 644, 620, 796
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• GCD of 54, 973, 637, 523

1. What is the GCD of 34, 472, 360, 119?

GCD of 34, 472, 360, 119 is 1

2. Where do I get the detailed procedure to find GCD of 34, 472, 360, 119?

You can find a detailed procedure to find GCD of 34, 472, 360, 119 on our page.

3. How to find GCD of 34, 472, 360, 119 on a calculator?

You can find the GCD of 34, 472, 360, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.