GCD of 205, 296, 600 Calculator

Given Input numbers are 205, 296, 600

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

Divisors of 205

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

1, 5, 41, 205

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Greatest Common Divisior

We found the divisors of 205, 296, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 296, 600 is 1.

Therefore, GCD of numbers 205, 296, 600 is 1

Given Input Data is 205, 296, 600

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

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(205, 296) = 60680

GCD(205, 296) = ( 205 x 296 ) / 60680

GCD(205, 296) = 60680 / 60680

GCD(205, 296) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

GCD of 205, 296, 600 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 174, 177
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• GCD of 334, 371, 456
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1. What is the GCD of 205, 296, 600?

GCD of 205, 296, 600 is 1

2. Where do I get the detailed procedure to find GCD of 205, 296, 600?

You can find a detailed procedure to find GCD of 205, 296, 600 on our page.

3. How to find GCD of 205, 296, 600 on a calculator?

You can find the GCD of 205, 296, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.