GCD of 989, 825, 48, 849 Calculator

Given Input numbers are 989, 825, 48, 849

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

Divisors of 989

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

1, 23, 43, 989

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 989, 825, 48, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 825, 48, 849 is 1.

Therefore, GCD of numbers 989, 825, 48, 849 is 1

Given Input Data is 989, 825, 48, 849

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 825 is 3 x 5 x 5 x 11

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

Prime Factorization of 849 is 3 x 283

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(989, 825) = 815925

GCD(989, 825) = ( 989 x 825 ) / 815925

GCD(989, 825) = 815925 / 815925

GCD(989, 825) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 989, 825, 48, 849 is 1

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1. What is the GCD of 989, 825, 48, 849?

GCD of 989, 825, 48, 849 is 1

2. Where do I get the detailed procedure to find GCD of 989, 825, 48, 849?

You can find a detailed procedure to find GCD of 989, 825, 48, 849 on our page.

3. How to find GCD of 989, 825, 48, 849 on a calculator?

You can find the GCD of 989, 825, 48, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.