GCD of 689, 413, 47, 177 Calculator

Given Input numbers are 689, 413, 47, 177

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Greatest Common Divisior

We found the divisors of 689, 413, 47, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 413, 47, 177 is 1.

Therefore, GCD of numbers 689, 413, 47, 177 is 1

Given Input Data is 689, 413, 47, 177

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 413 is 7 x 59

Prime Factorization of 47 is 47

Prime Factorization of 177 is 3 x 59

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(689, 413) = 284557

GCD(689, 413) = ( 689 x 413 ) / 284557

GCD(689, 413) = 284557 / 284557

GCD(689, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 177

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

LCM(1, 177) = 177

GCD(1, 177) = ( 1 x 177 ) / 177

GCD(1, 177) = 177 / 177

GCD(1, 177) = 1

GCD of 689, 413, 47, 177 is 1

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1. What is the GCD of 689, 413, 47, 177?

GCD of 689, 413, 47, 177 is 1

2. Where do I get the detailed procedure to find GCD of 689, 413, 47, 177?

You can find a detailed procedure to find GCD of 689, 413, 47, 177 on our page.

3. How to find GCD of 689, 413, 47, 177 on a calculator?

You can find the GCD of 689, 413, 47, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.