GCD of 820, 448, 548, 232 Calculator

Given Input numbers are 820, 448, 548, 232

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 548

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

1, 2, 4, 137, 274, 548

Divisors of 232

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

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

Greatest Common Divisior

We found the divisors of 820, 448, 548, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 448, 548, 232 is 4.

Therefore, GCD of numbers 820, 448, 548, 232 is 4

Given Input Data is 820, 448, 548, 232

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 548 is 2 x 2 x 137

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(820, 448) = 91840

GCD(820, 448) = ( 820 x 448 ) / 91840

GCD(820, 448) = 367360 / 91840

GCD(820, 448) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 548

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

LCM(4, 548) = 548

GCD(4, 548) = ( 4 x 548 ) / 548

GCD(4, 548) = 2192 / 548

GCD(4, 548) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 232

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

LCM(4, 232) = 232

GCD(4, 232) = ( 4 x 232 ) / 232

GCD(4, 232) = 928 / 232

GCD(4, 232) = 4

GCD of 820, 448, 548, 232 is 4

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1. What is the GCD of 820, 448, 548, 232?

GCD of 820, 448, 548, 232 is 4

2. Where do I get the detailed procedure to find GCD of 820, 448, 548, 232?

You can find a detailed procedure to find GCD of 820, 448, 548, 232 on our page.

3. How to find GCD of 820, 448, 548, 232 on a calculator?

You can find the GCD of 820, 448, 548, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.