GCD of 854, 915, 575, 170 Calculator

Given Input numbers are 854, 915, 575, 170

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 575

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

1, 5, 23, 25, 115, 575

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 854, 915, 575, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 915, 575, 170 is 1.

Therefore, GCD of numbers 854, 915, 575, 170 is 1

Given Input Data is 854, 915, 575, 170

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 575 is 5 x 5 x 23

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(854, 915) = 12810

GCD(854, 915) = ( 854 x 915 ) / 12810

GCD(854, 915) = 781410 / 12810

GCD(854, 915) = 61

Step2:

Here we consider the GCD from the above i.e. 61 as first number and the next as 575

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

LCM(61, 575) = 35075

GCD(61, 575) = ( 61 x 575 ) / 35075

GCD(61, 575) = 35075 / 35075

GCD(61, 575) = 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 854, 915, 575, 170 is 1

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1. What is the GCD of 854, 915, 575, 170?

GCD of 854, 915, 575, 170 is 1

2. Where do I get the detailed procedure to find GCD of 854, 915, 575, 170?

You can find a detailed procedure to find GCD of 854, 915, 575, 170 on our page.

3. How to find GCD of 854, 915, 575, 170 on a calculator?

You can find the GCD of 854, 915, 575, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.