GCD of 220, 105, 386, 472 Calculator

Given Input numbers are 220, 105, 386, 472

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

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 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Greatest Common Divisior

We found the divisors of 220, 105, 386, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 105, 386, 472 is 1.

Therefore, GCD of numbers 220, 105, 386, 472 is 1

Given Input Data is 220, 105, 386, 472

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

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 386 is 2 x 193

Prime Factorization of 472 is 2 x 2 x 2 x 59

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(220, 105) = 4620

GCD(220, 105) = ( 220 x 105 ) / 4620

GCD(220, 105) = 23100 / 4620

GCD(220, 105) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 386

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

LCM(5, 386) = 1930

GCD(5, 386) = ( 5 x 386 ) / 1930

GCD(5, 386) = 1930 / 1930

GCD(5, 386) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 472

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

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

GCD(1, 472) = 472 / 472

GCD(1, 472) = 1

GCD of 220, 105, 386, 472 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 286, 354, 946, 910
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• GCD of 628, 763, 957, 903

1. What is the GCD of 220, 105, 386, 472?

GCD of 220, 105, 386, 472 is 1

2. Where do I get the detailed procedure to find GCD of 220, 105, 386, 472?

You can find a detailed procedure to find GCD of 220, 105, 386, 472 on our page.

3. How to find GCD of 220, 105, 386, 472 on a calculator?

You can find the GCD of 220, 105, 386, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.