GCD of 899, 688, 52, 629 Calculator

Given Input numbers are 899, 688, 52, 629

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

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 899, 688, 52, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 899, 688, 52, 629 is 1.

Therefore, GCD of numbers 899, 688, 52, 629 is 1

Given Input Data is 899, 688, 52, 629

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

Prime Factorization of 899 is 29 x 31

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 629 is 17 x 37

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(899, 688) = 618512

GCD(899, 688) = ( 899 x 688 ) / 618512

GCD(899, 688) = 618512 / 618512

GCD(899, 688) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 629

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

LCM(1, 629) = 629

GCD(1, 629) = ( 1 x 629 ) / 629

GCD(1, 629) = 629 / 629

GCD(1, 629) = 1

GCD of 899, 688, 52, 629 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 102, 936, 49, 382
• GCD of 877, 179, 81, 595
• GCD of 194, 551, 28, 681
• GCD of 716, 754, 83, 901
• GCD of 331, 748, 67, 675

1. What is the GCD of 899, 688, 52, 629?

GCD of 899, 688, 52, 629 is 1

2. Where do I get the detailed procedure to find GCD of 899, 688, 52, 629?

You can find a detailed procedure to find GCD of 899, 688, 52, 629 on our page.

3. How to find GCD of 899, 688, 52, 629 on a calculator?

You can find the GCD of 899, 688, 52, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.