GCD of 296, 166, 220, 417 Calculator

Given Input numbers are 296, 166, 220, 417

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 166

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

1, 2, 83, 166

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Greatest Common Divisior

We found the divisors of 296, 166, 220, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 166, 220, 417 is 1.

Therefore, GCD of numbers 296, 166, 220, 417 is 1

Given Input Data is 296, 166, 220, 417

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 166 is 2 x 83

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 417 is 3 x 139

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(296, 166) = 24568

GCD(296, 166) = ( 296 x 166 ) / 24568

GCD(296, 166) = 49136 / 24568

GCD(296, 166) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 220

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

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

GCD(2, 220) = 440 / 220

GCD(2, 220) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 417

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

LCM(2, 417) = 834

GCD(2, 417) = ( 2 x 417 ) / 834

GCD(2, 417) = 834 / 834

GCD(2, 417) = 1

GCD of 296, 166, 220, 417 is 1

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1. What is the GCD of 296, 166, 220, 417?

GCD of 296, 166, 220, 417 is 1

2. Where do I get the detailed procedure to find GCD of 296, 166, 220, 417?

You can find a detailed procedure to find GCD of 296, 166, 220, 417 on our page.

3. How to find GCD of 296, 166, 220, 417 on a calculator?

You can find the GCD of 296, 166, 220, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.