GCD of 910, 395, 900, 205 Calculator

Given Input numbers are 910, 395, 900, 205

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

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 910, 395, 900, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 910, 395, 900, 205 is 5.

Therefore, GCD of numbers 910, 395, 900, 205 is 5

Given Input Data is 910, 395, 900, 205

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

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 395 is 5 x 79

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 205 is 5 x 41

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(910, 395) = 71890

GCD(910, 395) = ( 910 x 395 ) / 71890

GCD(910, 395) = 359450 / 71890

GCD(910, 395) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 900

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

LCM(5, 900) = 900

GCD(5, 900) = ( 5 x 900 ) / 900

GCD(5, 900) = 4500 / 900

GCD(5, 900) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 205

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

LCM(5, 205) = 205

GCD(5, 205) = ( 5 x 205 ) / 205

GCD(5, 205) = 1025 / 205

GCD(5, 205) = 5

GCD of 910, 395, 900, 205 is 5

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1. What is the GCD of 910, 395, 900, 205?

GCD of 910, 395, 900, 205 is 5

2. Where do I get the detailed procedure to find GCD of 910, 395, 900, 205?

You can find a detailed procedure to find GCD of 910, 395, 900, 205 on our page.

3. How to find GCD of 910, 395, 900, 205 on a calculator?

You can find the GCD of 910, 395, 900, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.