GCD of 520, 282, 718, 160 Calculator

Given Input numbers are 520, 282, 718, 160

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 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 520, 282, 718, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 282, 718, 160 is 2.

Therefore, GCD of numbers 520, 282, 718, 160 is 2

Given Input Data is 520, 282, 718, 160

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 282 is 2 x 3 x 47

Prime Factorization of 718 is 2 x 359

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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, 282) = 73320

GCD(520, 282) = ( 520 x 282 ) / 73320

GCD(520, 282) = 146640 / 73320

GCD(520, 282) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 718

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

LCM(2, 718) = 718

GCD(2, 718) = ( 2 x 718 ) / 718

GCD(2, 718) = 1436 / 718

GCD(2, 718) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 160

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

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

GCD(2, 160) = 320 / 160

GCD(2, 160) = 2

GCD of 520, 282, 718, 160 is 2

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1. What is the GCD of 520, 282, 718, 160?

GCD of 520, 282, 718, 160 is 2

2. Where do I get the detailed procedure to find GCD of 520, 282, 718, 160?

You can find a detailed procedure to find GCD of 520, 282, 718, 160 on our page.

3. How to find GCD of 520, 282, 718, 160 on a calculator?

You can find the GCD of 520, 282, 718, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.