GCD of 478, 242, 528, 106 Calculator

Given Input numbers are 478, 242, 528, 106

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 106

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

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 478, 242, 528, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 242, 528, 106 is 2.

Therefore, GCD of numbers 478, 242, 528, 106 is 2

Given Input Data is 478, 242, 528, 106

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 106 is 2 x 53

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(478, 242) = 57838

GCD(478, 242) = ( 478 x 242 ) / 57838

GCD(478, 242) = 115676 / 57838

GCD(478, 242) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 528

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

LCM(2, 528) = 528

GCD(2, 528) = ( 2 x 528 ) / 528

GCD(2, 528) = 1056 / 528

GCD(2, 528) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 106

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

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

GCD(2, 106) = 212 / 106

GCD(2, 106) = 2

GCD of 478, 242, 528, 106 is 2

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1. What is the GCD of 478, 242, 528, 106?

GCD of 478, 242, 528, 106 is 2

2. Where do I get the detailed procedure to find GCD of 478, 242, 528, 106?

You can find a detailed procedure to find GCD of 478, 242, 528, 106 on our page.

3. How to find GCD of 478, 242, 528, 106 on a calculator?

You can find the GCD of 478, 242, 528, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.