GCD of 518, 894, 48, 989 Calculator

Given Input numbers are 518, 894, 48, 989

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 518, 894, 48, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 894, 48, 989 is 1.

Therefore, GCD of numbers 518, 894, 48, 989 is 1

Given Input Data is 518, 894, 48, 989

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 989 is 23 x 43

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(518, 894) = 231546

GCD(518, 894) = ( 518 x 894 ) / 231546

GCD(518, 894) = 463092 / 231546

GCD(518, 894) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 989

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

LCM(2, 989) = 1978

GCD(2, 989) = ( 2 x 989 ) / 1978

GCD(2, 989) = 1978 / 1978

GCD(2, 989) = 1

GCD of 518, 894, 48, 989 is 1

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1. What is the GCD of 518, 894, 48, 989?

GCD of 518, 894, 48, 989 is 1

2. Where do I get the detailed procedure to find GCD of 518, 894, 48, 989?

You can find a detailed procedure to find GCD of 518, 894, 48, 989 on our page.

3. How to find GCD of 518, 894, 48, 989 on a calculator?

You can find the GCD of 518, 894, 48, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.