GCD of 915, 579, 166, 107 Calculator

Given Input numbers are 915, 579, 166, 107

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

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 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 166

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

1, 2, 83, 166

Divisors of 107

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

1, 107

Greatest Common Divisior

We found the divisors of 915, 579, 166, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 579, 166, 107 is 1.

Therefore, GCD of numbers 915, 579, 166, 107 is 1

Given Input Data is 915, 579, 166, 107

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

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 579 is 3 x 193

Prime Factorization of 166 is 2 x 83

Prime Factorization of 107 is 107

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(915, 579) = 176595

GCD(915, 579) = ( 915 x 579 ) / 176595

GCD(915, 579) = 529785 / 176595

GCD(915, 579) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 166

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

LCM(3, 166) = 498

GCD(3, 166) = ( 3 x 166 ) / 498

GCD(3, 166) = 498 / 498

GCD(3, 166) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

GCD of 915, 579, 166, 107 is 1

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1. What is the GCD of 915, 579, 166, 107?

GCD of 915, 579, 166, 107 is 1

2. Where do I get the detailed procedure to find GCD of 915, 579, 166, 107?

You can find a detailed procedure to find GCD of 915, 579, 166, 107 on our page.

3. How to find GCD of 915, 579, 166, 107 on a calculator?

You can find the GCD of 915, 579, 166, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.