GCD of 989, 676, 798, 161 Calculator

Given Input numbers are 989, 676, 798, 161

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 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Greatest Common Divisior

We found the divisors of 989, 676, 798, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 676, 798, 161 is 1.

Therefore, GCD of numbers 989, 676, 798, 161 is 1

Given Input Data is 989, 676, 798, 161

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 161 is 7 x 23

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, 676) = 668564

GCD(989, 676) = ( 989 x 676 ) / 668564

GCD(989, 676) = 668564 / 668564

GCD(989, 676) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 798

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

LCM(1, 798) = 798

GCD(1, 798) = ( 1 x 798 ) / 798

GCD(1, 798) = 798 / 798

GCD(1, 798) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 161

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

LCM(1, 161) = 161

GCD(1, 161) = ( 1 x 161 ) / 161

GCD(1, 161) = 161 / 161

GCD(1, 161) = 1

GCD of 989, 676, 798, 161 is 1

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1. What is the GCD of 989, 676, 798, 161?

GCD of 989, 676, 798, 161 is 1

2. Where do I get the detailed procedure to find GCD of 989, 676, 798, 161?

You can find a detailed procedure to find GCD of 989, 676, 798, 161 on our page.

3. How to find GCD of 989, 676, 798, 161 on a calculator?

You can find the GCD of 989, 676, 798, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.