GCD of 600, 813, 51, 651 Calculator

Given Input numbers are 600, 813, 51, 651

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 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Greatest Common Divisior

We found the divisors of 600, 813, 51, 651 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 813, 51, 651 is 3.

Therefore, GCD of numbers 600, 813, 51, 651 is 3

Given Input Data is 600, 813, 51, 651

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 813 is 3 x 271

Prime Factorization of 51 is 3 x 17

Prime Factorization of 651 is 3 x 7 x 31

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 813) = 162600

GCD(600, 813) = ( 600 x 813 ) / 162600

GCD(600, 813) = 487800 / 162600

GCD(600, 813) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 51

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

LCM(3, 51) = 51

GCD(3, 51) = ( 3 x 51 ) / 51

GCD(3, 51) = 153 / 51

GCD(3, 51) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 651

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

LCM(3, 651) = 651

GCD(3, 651) = ( 3 x 651 ) / 651

GCD(3, 651) = 1953 / 651

GCD(3, 651) = 3

GCD of 600, 813, 51, 651 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 836, 721, 44, 998
• GCD of 133, 434, 18, 565
• GCD of 447, 265, 99, 338
• GCD of 555, 802, 59, 766
• GCD of 405, 722, 40, 656

1. What is the GCD of 600, 813, 51, 651?

GCD of 600, 813, 51, 651 is 3

2. Where do I get the detailed procedure to find GCD of 600, 813, 51, 651?

You can find a detailed procedure to find GCD of 600, 813, 51, 651 on our page.

3. How to find GCD of 600, 813, 51, 651 on a calculator?

You can find the GCD of 600, 813, 51, 651 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.