GCD of 295, 380, 640 Calculator

Given Input numbers are 295, 380, 640

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

Divisors of 295

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

1, 5, 59, 295

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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

Greatest Common Divisior

We found the divisors of 295, 380, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 295, 380, 640 is 5.

Therefore, GCD of numbers 295, 380, 640 is 5

Given Input Data is 295, 380, 640

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

Prime Factorization of 295 is 5 x 59

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 640 is 2 x 2 x 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(295, 380) = 22420

GCD(295, 380) = ( 295 x 380 ) / 22420

GCD(295, 380) = 112100 / 22420

GCD(295, 380) = 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

GCD of 295, 380, 640 is 5

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1. What is the GCD of 295, 380, 640?

GCD of 295, 380, 640 is 5

2. Where do I get the detailed procedure to find GCD of 295, 380, 640?

You can find a detailed procedure to find GCD of 295, 380, 640 on our page.

3. How to find GCD of 295, 380, 640 on a calculator?

You can find the GCD of 295, 380, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.