GCD of 630, 927, 849, 689 Calculator

Given Input numbers are 630, 927, 849, 689

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 630, 927, 849, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 927, 849, 689 is 1.

Therefore, GCD of numbers 630, 927, 849, 689 is 1

Given Input Data is 630, 927, 849, 689

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 927 is 3 x 3 x 103

Prime Factorization of 849 is 3 x 283

Prime Factorization of 689 is 13 x 53

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(630, 927) = 64890

GCD(630, 927) = ( 630 x 927 ) / 64890

GCD(630, 927) = 584010 / 64890

GCD(630, 927) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 849

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

LCM(9, 849) = 2547

GCD(9, 849) = ( 9 x 849 ) / 2547

GCD(9, 849) = 7641 / 2547

GCD(9, 849) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 689

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

LCM(3, 689) = 2067

GCD(3, 689) = ( 3 x 689 ) / 2067

GCD(3, 689) = 2067 / 2067

GCD(3, 689) = 1

GCD of 630, 927, 849, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 656, 334, 297, 496
• GCD of 415, 637, 596, 179
• GCD of 166, 601, 305, 925
• GCD of 202, 129, 798, 783
• GCD of 981, 424, 283, 533

1. What is the GCD of 630, 927, 849, 689?

GCD of 630, 927, 849, 689 is 1

2. Where do I get the detailed procedure to find GCD of 630, 927, 849, 689?

You can find a detailed procedure to find GCD of 630, 927, 849, 689 on our page.

3. How to find GCD of 630, 927, 849, 689 on a calculator?

You can find the GCD of 630, 927, 849, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.