GCD of 23, 977, 982, 172 Calculator

Given Input numbers are 23, 977, 982, 172

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

Divisors of 23

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

1, 23

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 23, 977, 982, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 977, 982, 172 is 1.

Therefore, GCD of numbers 23, 977, 982, 172 is 1

Given Input Data is 23, 977, 982, 172

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

Prime Factorization of 23 is 23

Prime Factorization of 977 is 977

Prime Factorization of 982 is 2 x 491

Prime Factorization of 172 is 2 x 2 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(23, 977) = 22471

GCD(23, 977) = ( 23 x 977 ) / 22471

GCD(23, 977) = 22471 / 22471

GCD(23, 977) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 23, 977, 982, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 56, 605, 674, 200
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• GCD of 30, 552, 632, 892
• GCD of 39, 620, 597, 445

1. What is the GCD of 23, 977, 982, 172?

GCD of 23, 977, 982, 172 is 1

2. Where do I get the detailed procedure to find GCD of 23, 977, 982, 172?

You can find a detailed procedure to find GCD of 23, 977, 982, 172 on our page.

3. How to find GCD of 23, 977, 982, 172 on a calculator?

You can find the GCD of 23, 977, 982, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.