GCD of 166, 348, 509, 581 Calculator

Given Input numbers are 166, 348, 509, 581

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

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 581

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

1, 7, 83, 581

Greatest Common Divisior

We found the divisors of 166, 348, 509, 581 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 166, 348, 509, 581 is 1.

Therefore, GCD of numbers 166, 348, 509, 581 is 1

Given Input Data is 166, 348, 509, 581

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

Prime Factorization of 166 is 2 x 83

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 509 is 509

Prime Factorization of 581 is 7 x 83

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(166, 348) = 28884

GCD(166, 348) = ( 166 x 348 ) / 28884

GCD(166, 348) = 57768 / 28884

GCD(166, 348) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 509

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

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

GCD(2, 509) = 1018 / 1018

GCD(2, 509) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 581

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

LCM(1, 581) = 581

GCD(1, 581) = ( 1 x 581 ) / 581

GCD(1, 581) = 581 / 581

GCD(1, 581) = 1

GCD of 166, 348, 509, 581 is 1

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1. What is the GCD of 166, 348, 509, 581?

GCD of 166, 348, 509, 581 is 1

2. Where do I get the detailed procedure to find GCD of 166, 348, 509, 581?

You can find a detailed procedure to find GCD of 166, 348, 509, 581 on our page.

3. How to find GCD of 166, 348, 509, 581 on a calculator?

You can find the GCD of 166, 348, 509, 581 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.