GCD of 520, 566, 362, 118 Calculator

Given Input numbers are 520, 566, 362, 118

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

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

Divisors of 566

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

1, 2, 283, 566

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 520, 566, 362, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 566, 362, 118 is 2.

Therefore, GCD of numbers 520, 566, 362, 118 is 2

Given Input Data is 520, 566, 362, 118

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

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

Prime Factorization of 566 is 2 x 283

Prime Factorization of 362 is 2 x 181

Prime Factorization of 118 is 2 x 59

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(520, 566) = 147160

GCD(520, 566) = ( 520 x 566 ) / 147160

GCD(520, 566) = 294320 / 147160

GCD(520, 566) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 362

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

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

GCD(2, 362) = 724 / 362

GCD(2, 362) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 118

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

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

GCD(2, 118) = 236 / 118

GCD(2, 118) = 2

GCD of 520, 566, 362, 118 is 2

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1. What is the GCD of 520, 566, 362, 118?

GCD of 520, 566, 362, 118 is 2

2. Where do I get the detailed procedure to find GCD of 520, 566, 362, 118?

You can find a detailed procedure to find GCD of 520, 566, 362, 118 on our page.

3. How to find GCD of 520, 566, 362, 118 on a calculator?

You can find the GCD of 520, 566, 362, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.