GCD of 989, 116, 23, 265 Calculator

Given Input numbers are 989, 116, 23, 265

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 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Greatest Common Divisior

We found the divisors of 989, 116, 23, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 116, 23, 265 is 1.

Therefore, GCD of numbers 989, 116, 23, 265 is 1

Given Input Data is 989, 116, 23, 265

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 23 is 23

Prime Factorization of 265 is 5 x 53

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, 116) = 114724

GCD(989, 116) = ( 989 x 116 ) / 114724

GCD(989, 116) = 114724 / 114724

GCD(989, 116) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 265

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

LCM(1, 265) = 265

GCD(1, 265) = ( 1 x 265 ) / 265

GCD(1, 265) = 265 / 265

GCD(1, 265) = 1

GCD of 989, 116, 23, 265 is 1

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1. What is the GCD of 989, 116, 23, 265?

GCD of 989, 116, 23, 265 is 1

2. Where do I get the detailed procedure to find GCD of 989, 116, 23, 265?

You can find a detailed procedure to find GCD of 989, 116, 23, 265 on our page.

3. How to find GCD of 989, 116, 23, 265 on a calculator?

You can find the GCD of 989, 116, 23, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.