GCD of 107, 575, 55, 170 Calculator

Given Input numbers are 107, 575, 55, 170

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

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 107, 575, 55, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 575, 55, 170 is 1.

Therefore, GCD of numbers 107, 575, 55, 170 is 1

Given Input Data is 107, 575, 55, 170

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

Prime Factorization of 107 is 107

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 55 is 5 x 11

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(107, 575) = 61525

GCD(107, 575) = ( 107 x 575 ) / 61525

GCD(107, 575) = 61525 / 61525

GCD(107, 575) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 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 107, 575, 55, 170 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 538, 302, 89, 259
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1. What is the GCD of 107, 575, 55, 170?

GCD of 107, 575, 55, 170 is 1

2. Where do I get the detailed procedure to find GCD of 107, 575, 55, 170?

You can find a detailed procedure to find GCD of 107, 575, 55, 170 on our page.

3. How to find GCD of 107, 575, 55, 170 on a calculator?

You can find the GCD of 107, 575, 55, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.