GCD of 600, 716, 454, 893 Calculator

Given Input numbers are 600, 716, 454, 893

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 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Greatest Common Divisior

We found the divisors of 600, 716, 454, 893 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 716, 454, 893 is 1.

Therefore, GCD of numbers 600, 716, 454, 893 is 1

Given Input Data is 600, 716, 454, 893

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 716 is 2 x 2 x 179

Prime Factorization of 454 is 2 x 227

Prime Factorization of 893 is 19 x 47

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, 716) = 107400

GCD(600, 716) = ( 600 x 716 ) / 107400

GCD(600, 716) = 429600 / 107400

GCD(600, 716) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 454

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

LCM(4, 454) = 908

GCD(4, 454) = ( 4 x 454 ) / 908

GCD(4, 454) = 1816 / 908

GCD(4, 454) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 893

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

LCM(2, 893) = 1786

GCD(2, 893) = ( 2 x 893 ) / 1786

GCD(2, 893) = 1786 / 1786

GCD(2, 893) = 1

GCD of 600, 716, 454, 893 is 1

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• GCD of 986, 321, 849, 658
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1. What is the GCD of 600, 716, 454, 893?

GCD of 600, 716, 454, 893 is 1

2. Where do I get the detailed procedure to find GCD of 600, 716, 454, 893?

You can find a detailed procedure to find GCD of 600, 716, 454, 893 on our page.

3. How to find GCD of 600, 716, 454, 893 on a calculator?

You can find the GCD of 600, 716, 454, 893 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.