GCD of 600, 660, 85, 893 Calculator

Given Input numbers are 600, 660, 85, 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 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

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, 660, 85, 893 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 660, 85, 893 is 1.

Therefore, GCD of numbers 600, 660, 85, 893 is 1

Given Input Data is 600, 660, 85, 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 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 85 is 5 x 17

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, 660) = 6600

GCD(600, 660) = ( 600 x 660 ) / 6600

GCD(600, 660) = 396000 / 6600

GCD(600, 660) = 60

Step2:

Here we consider the GCD from the above i.e. 60 as first number and the next as 85

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

LCM(60, 85) = 1020

GCD(60, 85) = ( 60 x 85 ) / 1020

GCD(60, 85) = 5100 / 1020

GCD(60, 85) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 893

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

LCM(5, 893) = 4465

GCD(5, 893) = ( 5 x 893 ) / 4465

GCD(5, 893) = 4465 / 4465

GCD(5, 893) = 1

GCD of 600, 660, 85, 893 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 638, 974, 22, 987
• GCD of 712, 343, 20, 285
• GCD of 611, 918, 61, 942
• GCD of 370, 124, 66, 551
• GCD of 168, 595, 35, 389

1. What is the GCD of 600, 660, 85, 893?

GCD of 600, 660, 85, 893 is 1

2. Where do I get the detailed procedure to find GCD of 600, 660, 85, 893?

You can find a detailed procedure to find GCD of 600, 660, 85, 893 on our page.

3. How to find GCD of 600, 660, 85, 893 on a calculator?

You can find the GCD of 600, 660, 85, 893 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.