GCD of 600, 886, 66, 891 Calculator

Given Input numbers are 600, 886, 66, 891

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 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Greatest Common Divisior

We found the divisors of 600, 886, 66, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 886, 66, 891 is 1.

Therefore, GCD of numbers 600, 886, 66, 891 is 1

Given Input Data is 600, 886, 66, 891

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 886 is 2 x 443

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

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, 886) = 265800

GCD(600, 886) = ( 600 x 886 ) / 265800

GCD(600, 886) = 531600 / 265800

GCD(600, 886) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 891

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

LCM(2, 891) = 1782

GCD(2, 891) = ( 2 x 891 ) / 1782

GCD(2, 891) = 1782 / 1782

GCD(2, 891) = 1

GCD of 600, 886, 66, 891 is 1

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1. What is the GCD of 600, 886, 66, 891?

GCD of 600, 886, 66, 891 is 1

2. Where do I get the detailed procedure to find GCD of 600, 886, 66, 891?

You can find a detailed procedure to find GCD of 600, 886, 66, 891 on our page.

3. How to find GCD of 600, 886, 66, 891 on a calculator?

You can find the GCD of 600, 886, 66, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.