GCD of 34, 977, 113, 493 Calculator

Given Input numbers are 34, 977, 113, 493

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 977

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

1, 977

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Greatest Common Divisior

We found the divisors of 34, 977, 113, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 977, 113, 493 is 1.

Therefore, GCD of numbers 34, 977, 113, 493 is 1

Given Input Data is 34, 977, 113, 493

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 977 is 977

Prime Factorization of 113 is 113

Prime Factorization of 493 is 17 x 29

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(34, 977) = 33218

GCD(34, 977) = ( 34 x 977 ) / 33218

GCD(34, 977) = 33218 / 33218

GCD(34, 977) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 493

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

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

GCD(1, 493) = 493 / 493

GCD(1, 493) = 1

GCD of 34, 977, 113, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 239, 404, 760
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• GCD of 58, 878, 398, 641

1. What is the GCD of 34, 977, 113, 493?

GCD of 34, 977, 113, 493 is 1

2. Where do I get the detailed procedure to find GCD of 34, 977, 113, 493?

You can find a detailed procedure to find GCD of 34, 977, 113, 493 on our page.

3. How to find GCD of 34, 977, 113, 493 on a calculator?

You can find the GCD of 34, 977, 113, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.