GCD of 600, 463, 949, 313 Calculator

Given Input numbers are 600, 463, 949, 313

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

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

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 600, 463, 949, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 463, 949, 313 is 1.

Therefore, GCD of numbers 600, 463, 949, 313 is 1

Given Input Data is 600, 463, 949, 313

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

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

Prime Factorization of 463 is 463

Prime Factorization of 949 is 13 x 73

Prime Factorization of 313 is 313

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(600, 463) = 277800

GCD(600, 463) = ( 600 x 463 ) / 277800

GCD(600, 463) = 277800 / 277800

GCD(600, 463) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 600, 463, 949, 313 is 1

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• GCD of 723, 467, 270, 427
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1. What is the GCD of 600, 463, 949, 313?

GCD of 600, 463, 949, 313 is 1

2. Where do I get the detailed procedure to find GCD of 600, 463, 949, 313?

You can find a detailed procedure to find GCD of 600, 463, 949, 313 on our page.

3. How to find GCD of 600, 463, 949, 313 on a calculator?

You can find the GCD of 600, 463, 949, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.