GCD of 232, 548, 220, 622 Calculator

Given Input numbers are 232, 548, 220, 622

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

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

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 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Greatest Common Divisior

We found the divisors of 232, 548, 220, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 548, 220, 622 is 2.

Therefore, GCD of numbers 232, 548, 220, 622 is 2

Given Input Data is 232, 548, 220, 622

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

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 548 is 2 x 2 x 137

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

Prime Factorization of 622 is 2 x 311

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(232, 548) = 31784

GCD(232, 548) = ( 232 x 548 ) / 31784

GCD(232, 548) = 127136 / 31784

GCD(232, 548) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 220

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

LCM(4, 220) = 220

GCD(4, 220) = ( 4 x 220 ) / 220

GCD(4, 220) = 880 / 220

GCD(4, 220) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 622

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

LCM(4, 622) = 1244

GCD(4, 622) = ( 4 x 622 ) / 1244

GCD(4, 622) = 2488 / 1244

GCD(4, 622) = 2

GCD of 232, 548, 220, 622 is 2

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1. What is the GCD of 232, 548, 220, 622?

GCD of 232, 548, 220, 622 is 2

2. Where do I get the detailed procedure to find GCD of 232, 548, 220, 622?

You can find a detailed procedure to find GCD of 232, 548, 220, 622 on our page.

3. How to find GCD of 232, 548, 220, 622 on a calculator?

You can find the GCD of 232, 548, 220, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.