GCD of 629, 742, 371, 258 Calculator

Given Input numbers are 629, 742, 371, 258

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 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 629, 742, 371, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 629, 742, 371, 258 is 1.

Therefore, GCD of numbers 629, 742, 371, 258 is 1

Given Input Data is 629, 742, 371, 258

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

Prime Factorization of 629 is 17 x 37

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 371 is 7 x 53

Prime Factorization of 258 is 2 x 3 x 43

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, 742) = 466718

GCD(629, 742) = ( 629 x 742 ) / 466718

GCD(629, 742) = 466718 / 466718

GCD(629, 742) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 258

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

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

GCD(1, 258) = 258 / 258

GCD(1, 258) = 1

GCD of 629, 742, 371, 258 is 1

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1. What is the GCD of 629, 742, 371, 258?

GCD of 629, 742, 371, 258 is 1

2. Where do I get the detailed procedure to find GCD of 629, 742, 371, 258?

You can find a detailed procedure to find GCD of 629, 742, 371, 258 on our page.

3. How to find GCD of 629, 742, 371, 258 on a calculator?

You can find the GCD of 629, 742, 371, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.