GCD of 53, 629, 867, 749 Calculator

Given Input numbers are 53, 629, 867, 749

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

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 629

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

1, 17, 37, 629

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 53, 629, 867, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 629, 867, 749 is 1.

Therefore, GCD of numbers 53, 629, 867, 749 is 1

Given Input Data is 53, 629, 867, 749

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

Prime Factorization of 53 is 53

Prime Factorization of 629 is 17 x 37

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 749 is 7 x 107

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(53, 629) = 33337

GCD(53, 629) = ( 53 x 629 ) / 33337

GCD(53, 629) = 33337 / 33337

GCD(53, 629) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 53, 629, 867, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 607, 392, 535
• GCD of 40, 396, 780, 178
• GCD of 21, 651, 521, 829
• GCD of 22, 531, 784, 925
• GCD of 97, 521, 317, 694

1. What is the GCD of 53, 629, 867, 749?

GCD of 53, 629, 867, 749 is 1

2. Where do I get the detailed procedure to find GCD of 53, 629, 867, 749?

You can find a detailed procedure to find GCD of 53, 629, 867, 749 on our page.

3. How to find GCD of 53, 629, 867, 749 on a calculator?

You can find the GCD of 53, 629, 867, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.