GCD of 629, 148, 169, 683 Calculator

Given Input numbers are 629, 148, 169, 683

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

Divisors of 629

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

1, 17, 37, 629

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Greatest Common Divisior

We found the divisors of 629, 148, 169, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 629, 148, 169, 683 is 1.

Therefore, GCD of numbers 629, 148, 169, 683 is 1

Given Input Data is 629, 148, 169, 683

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

Prime Factorization of 629 is 17 x 37

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 169 is 13 x 13

Prime Factorization of 683 is 683

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(629, 148) = 2516

GCD(629, 148) = ( 629 x 148 ) / 2516

GCD(629, 148) = 93092 / 2516

GCD(629, 148) = 37

Step2:

Here we consider the GCD from the above i.e. 37 as first number and the next as 169

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

LCM(37, 169) = 6253

GCD(37, 169) = ( 37 x 169 ) / 6253

GCD(37, 169) = 6253 / 6253

GCD(37, 169) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 683

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

LCM(1, 683) = 683

GCD(1, 683) = ( 1 x 683 ) / 683

GCD(1, 683) = 683 / 683

GCD(1, 683) = 1

GCD of 629, 148, 169, 683 is 1

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1. What is the GCD of 629, 148, 169, 683?

GCD of 629, 148, 169, 683 is 1

2. Where do I get the detailed procedure to find GCD of 629, 148, 169, 683?

You can find a detailed procedure to find GCD of 629, 148, 169, 683 on our page.

3. How to find GCD of 629, 148, 169, 683 on a calculator?

You can find the GCD of 629, 148, 169, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.