GCD of 220, 106, 992, 407 Calculator

Given Input numbers are 220, 106, 992, 407

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 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 220, 106, 992, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 106, 992, 407 is 1.

Therefore, GCD of numbers 220, 106, 992, 407 is 1

Given Input Data is 220, 106, 992, 407

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 106 is 2 x 53

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 407 is 11 x 37

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, 106) = 11660

GCD(220, 106) = ( 220 x 106 ) / 11660

GCD(220, 106) = 23320 / 11660

GCD(220, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 992

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

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

GCD(2, 992) = 1984 / 992

GCD(2, 992) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 407

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

LCM(2, 407) = 814

GCD(2, 407) = ( 2 x 407 ) / 814

GCD(2, 407) = 814 / 814

GCD(2, 407) = 1

GCD of 220, 106, 992, 407 is 1

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• GCD of 248, 164, 494, 572
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1. What is the GCD of 220, 106, 992, 407?

GCD of 220, 106, 992, 407 is 1

2. Where do I get the detailed procedure to find GCD of 220, 106, 992, 407?

You can find a detailed procedure to find GCD of 220, 106, 992, 407 on our page.

3. How to find GCD of 220, 106, 992, 407 on a calculator?

You can find the GCD of 220, 106, 992, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.