GCD of 335, 180, 640, 295 Calculator

Given Input numbers are 335, 180, 640, 295

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

Divisors of 335

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

1, 5, 67, 335

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 335, 180, 640, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 335, 180, 640, 295 is 5.

Therefore, GCD of numbers 335, 180, 640, 295 is 5

Given Input Data is 335, 180, 640, 295

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

Prime Factorization of 335 is 5 x 67

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 295 is 5 x 59

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(335, 180) = 12060

GCD(335, 180) = ( 335 x 180 ) / 12060

GCD(335, 180) = 60300 / 12060

GCD(335, 180) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 640

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

LCM(5, 640) = 640

GCD(5, 640) = ( 5 x 640 ) / 640

GCD(5, 640) = 3200 / 640

GCD(5, 640) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 295

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

LCM(5, 295) = 295

GCD(5, 295) = ( 5 x 295 ) / 295

GCD(5, 295) = 1475 / 295

GCD(5, 295) = 5

GCD of 335, 180, 640, 295 is 5

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1. What is the GCD of 335, 180, 640, 295?

GCD of 335, 180, 640, 295 is 5

2. Where do I get the detailed procedure to find GCD of 335, 180, 640, 295?

You can find a detailed procedure to find GCD of 335, 180, 640, 295 on our page.

3. How to find GCD of 335, 180, 640, 295 on a calculator?

You can find the GCD of 335, 180, 640, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.