GCD of 257, 581, 164, 677 Calculator

Given Input numbers are 257, 581, 164, 677

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

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 257, 581, 164, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 581, 164, 677 is 1.

Therefore, GCD of numbers 257, 581, 164, 677 is 1

Given Input Data is 257, 581, 164, 677

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

Prime Factorization of 257 is 257

Prime Factorization of 581 is 7 x 83

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 677 is 677

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(257, 581) = 149317

GCD(257, 581) = ( 257 x 581 ) / 149317

GCD(257, 581) = 149317 / 149317

GCD(257, 581) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

GCD of 257, 581, 164, 677 is 1

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1. What is the GCD of 257, 581, 164, 677?

GCD of 257, 581, 164, 677 is 1

2. Where do I get the detailed procedure to find GCD of 257, 581, 164, 677?

You can find a detailed procedure to find GCD of 257, 581, 164, 677 on our page.

3. How to find GCD of 257, 581, 164, 677 on a calculator?

You can find the GCD of 257, 581, 164, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.