GCD of 580, 335, 20, 160 Calculator

Given Input numbers are 580, 335, 20, 160

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

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

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 580, 335, 20, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 335, 20, 160 is 5.

Therefore, GCD of numbers 580, 335, 20, 160 is 5

Given Input Data is 580, 335, 20, 160

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

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 335 is 5 x 67

Prime Factorization of 20 is 2 x 2 x 5

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

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(580, 335) = 38860

GCD(580, 335) = ( 580 x 335 ) / 38860

GCD(580, 335) = 194300 / 38860

GCD(580, 335) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 20

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

LCM(5, 20) = 20

GCD(5, 20) = ( 5 x 20 ) / 20

GCD(5, 20) = 100 / 20

GCD(5, 20) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 160

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

LCM(5, 160) = 160

GCD(5, 160) = ( 5 x 160 ) / 160

GCD(5, 160) = 800 / 160

GCD(5, 160) = 5

GCD of 580, 335, 20, 160 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 488, 259, 60, 608
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• GCD of 649, 966, 57, 221

1. What is the GCD of 580, 335, 20, 160?

GCD of 580, 335, 20, 160 is 5

2. Where do I get the detailed procedure to find GCD of 580, 335, 20, 160?

You can find a detailed procedure to find GCD of 580, 335, 20, 160 on our page.

3. How to find GCD of 580, 335, 20, 160 on a calculator?

You can find the GCD of 580, 335, 20, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.