GCD of 106, 170, 817, 354 Calculator

Given Input numbers are 106, 170, 817, 354

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 106, 170, 817, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 170, 817, 354 is 1.

Therefore, GCD of numbers 106, 170, 817, 354 is 1

Given Input Data is 106, 170, 817, 354

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 817 is 19 x 43

Prime Factorization of 354 is 2 x 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(106, 170) = 9010

GCD(106, 170) = ( 106 x 170 ) / 9010

GCD(106, 170) = 18020 / 9010

GCD(106, 170) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 817

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

LCM(2, 817) = 1634

GCD(2, 817) = ( 2 x 817 ) / 1634

GCD(2, 817) = 1634 / 1634

GCD(2, 817) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 106, 170, 817, 354 is 1

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• GCD of 874, 654, 454, 282
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1. What is the GCD of 106, 170, 817, 354?

GCD of 106, 170, 817, 354 is 1

2. Where do I get the detailed procedure to find GCD of 106, 170, 817, 354?

You can find a detailed procedure to find GCD of 106, 170, 817, 354 on our page.

3. How to find GCD of 106, 170, 817, 354 on a calculator?

You can find the GCD of 106, 170, 817, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.