GCD of 660, 448, 566, 520 Calculator

Given Input numbers are 660, 448, 566, 520

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Greatest Common Divisior

We found the divisors of 660, 448, 566, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 448, 566, 520 is 2.

Therefore, GCD of numbers 660, 448, 566, 520 is 2

Given Input Data is 660, 448, 566, 520

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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

Prime Factorization of 566 is 2 x 283

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

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(660, 448) = 73920

GCD(660, 448) = ( 660 x 448 ) / 73920

GCD(660, 448) = 295680 / 73920

GCD(660, 448) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 566

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

LCM(4, 566) = 1132

GCD(4, 566) = ( 4 x 566 ) / 1132

GCD(4, 566) = 2264 / 1132

GCD(4, 566) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 520

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

LCM(2, 520) = 520

GCD(2, 520) = ( 2 x 520 ) / 520

GCD(2, 520) = 1040 / 520

GCD(2, 520) = 2

GCD of 660, 448, 566, 520 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 906, 259, 944, 138
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• GCD of 375, 726, 984, 964

1. What is the GCD of 660, 448, 566, 520?

GCD of 660, 448, 566, 520 is 2

2. Where do I get the detailed procedure to find GCD of 660, 448, 566, 520?

You can find a detailed procedure to find GCD of 660, 448, 566, 520 on our page.

3. How to find GCD of 660, 448, 566, 520 on a calculator?

You can find the GCD of 660, 448, 566, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.