GCD of 600, 667, 66, 842 Calculator

Given Input numbers are 600, 667, 66, 842

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 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

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 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 600, 667, 66, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 667, 66, 842 is 1.

Therefore, GCD of numbers 600, 667, 66, 842 is 1

Given Input Data is 600, 667, 66, 842

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 667 is 23 x 29

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 842 is 2 x 421

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, 667) = 400200

GCD(600, 667) = ( 600 x 667 ) / 400200

GCD(600, 667) = 400200 / 400200

GCD(600, 667) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

GCD of 600, 667, 66, 842 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 847, 932, 14, 435
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• GCD of 413, 535, 15, 880

1. What is the GCD of 600, 667, 66, 842?

GCD of 600, 667, 66, 842 is 1

2. Where do I get the detailed procedure to find GCD of 600, 667, 66, 842?

You can find a detailed procedure to find GCD of 600, 667, 66, 842 on our page.

3. How to find GCD of 600, 667, 66, 842 on a calculator?

You can find the GCD of 600, 667, 66, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.