GCD of 994, 360, 547, 886 Calculator

Given Input numbers are 994, 360, 547, 886

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

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 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Greatest Common Divisior

We found the divisors of 994, 360, 547, 886 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 360, 547, 886 is 1.

Therefore, GCD of numbers 994, 360, 547, 886 is 1

Given Input Data is 994, 360, 547, 886

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

Prime Factorization of 994 is 2 x 7 x 71

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

Prime Factorization of 547 is 547

Prime Factorization of 886 is 2 x 443

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(994, 360) = 178920

GCD(994, 360) = ( 994 x 360 ) / 178920

GCD(994, 360) = 357840 / 178920

GCD(994, 360) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 547

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

LCM(2, 547) = 1094

GCD(2, 547) = ( 2 x 547 ) / 1094

GCD(2, 547) = 1094 / 1094

GCD(2, 547) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 886

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

LCM(1, 886) = 886

GCD(1, 886) = ( 1 x 886 ) / 886

GCD(1, 886) = 886 / 886

GCD(1, 886) = 1

GCD of 994, 360, 547, 886 is 1

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1. What is the GCD of 994, 360, 547, 886?

GCD of 994, 360, 547, 886 is 1

2. Where do I get the detailed procedure to find GCD of 994, 360, 547, 886?

You can find a detailed procedure to find GCD of 994, 360, 547, 886 on our page.

3. How to find GCD of 994, 360, 547, 886 on a calculator?

You can find the GCD of 994, 360, 547, 886 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.