GCD of 360, 107, 896, 995 Calculator

Given Input numbers are 360, 107, 896, 995

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 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Greatest Common Divisior

We found the divisors of 360, 107, 896, 995 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 107, 896, 995 is 1.

Therefore, GCD of numbers 360, 107, 896, 995 is 1

Given Input Data is 360, 107, 896, 995

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 107 is 107

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 995 is 5 x 199

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, 107) = 38520

GCD(360, 107) = ( 360 x 107 ) / 38520

GCD(360, 107) = 38520 / 38520

GCD(360, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 896

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

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

GCD(1, 896) = 896 / 896

GCD(1, 896) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 995

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

LCM(1, 995) = 995

GCD(1, 995) = ( 1 x 995 ) / 995

GCD(1, 995) = 995 / 995

GCD(1, 995) = 1

GCD of 360, 107, 896, 995 is 1

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1. What is the GCD of 360, 107, 896, 995?

GCD of 360, 107, 896, 995 is 1

2. Where do I get the detailed procedure to find GCD of 360, 107, 896, 995?

You can find a detailed procedure to find GCD of 360, 107, 896, 995 on our page.

3. How to find GCD of 360, 107, 896, 995 on a calculator?

You can find the GCD of 360, 107, 896, 995 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.