GCD of 794, 899, 38, 987 Calculator

Given Input numbers are 794, 899, 38, 987

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

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Greatest Common Divisior

We found the divisors of 794, 899, 38, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 899, 38, 987 is 1.

Therefore, GCD of numbers 794, 899, 38, 987 is 1

Given Input Data is 794, 899, 38, 987

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

Prime Factorization of 794 is 2 x 397

Prime Factorization of 899 is 29 x 31

Prime Factorization of 38 is 2 x 19

Prime Factorization of 987 is 3 x 7 x 47

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(794, 899) = 713806

GCD(794, 899) = ( 794 x 899 ) / 713806

GCD(794, 899) = 713806 / 713806

GCD(794, 899) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

GCD of 794, 899, 38, 987 is 1

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1. What is the GCD of 794, 899, 38, 987?

GCD of 794, 899, 38, 987 is 1

2. Where do I get the detailed procedure to find GCD of 794, 899, 38, 987?

You can find a detailed procedure to find GCD of 794, 899, 38, 987 on our page.

3. How to find GCD of 794, 899, 38, 987 on a calculator?

You can find the GCD of 794, 899, 38, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.