GCD of 677, 226, 600 Calculator

Given Input numbers are 677, 226, 600

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

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

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 677, 226, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 226, 600 is 1.

Therefore, GCD of numbers 677, 226, 600 is 1

Given Input Data is 677, 226, 600

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

Prime Factorization of 677 is 677

Prime Factorization of 226 is 2 x 113

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(677, 226) = 153002

GCD(677, 226) = ( 677 x 226 ) / 153002

GCD(677, 226) = 153002 / 153002

GCD(677, 226) = 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 677, 226, 600 is 1

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1. What is the GCD of 677, 226, 600?

GCD of 677, 226, 600 is 1

2. Where do I get the detailed procedure to find GCD of 677, 226, 600?

You can find a detailed procedure to find GCD of 677, 226, 600 on our page.

3. How to find GCD of 677, 226, 600 on a calculator?

You can find the GCD of 677, 226, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.