GCD of 108, 434, 945, 170 Calculator

Given Input numbers are 108, 434, 945, 170

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 170

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

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

Greatest Common Divisior

We found the divisors of 108, 434, 945, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 434, 945, 170 is 1.

Therefore, GCD of numbers 108, 434, 945, 170 is 1

Given Input Data is 108, 434, 945, 170

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 170 is 2 x 5 x 17

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(108, 434) = 23436

GCD(108, 434) = ( 108 x 434 ) / 23436

GCD(108, 434) = 46872 / 23436

GCD(108, 434) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 945

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

LCM(2, 945) = 1890

GCD(2, 945) = ( 2 x 945 ) / 1890

GCD(2, 945) = 1890 / 1890

GCD(2, 945) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 170

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

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

GCD(1, 170) = 170 / 170

GCD(1, 170) = 1

GCD of 108, 434, 945, 170 is 1

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1. What is the GCD of 108, 434, 945, 170?

GCD of 108, 434, 945, 170 is 1

2. Where do I get the detailed procedure to find GCD of 108, 434, 945, 170?

You can find a detailed procedure to find GCD of 108, 434, 945, 170 on our page.

3. How to find GCD of 108, 434, 945, 170 on a calculator?

You can find the GCD of 108, 434, 945, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.