GCD of 102, 629, 35, 238 Calculator

Given Input numbers are 102, 629, 35, 238

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 629

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

1, 17, 37, 629

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 102, 629, 35, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 629, 35, 238 is 1.

Therefore, GCD of numbers 102, 629, 35, 238 is 1

Given Input Data is 102, 629, 35, 238

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 629 is 17 x 37

Prime Factorization of 35 is 5 x 7

Prime Factorization of 238 is 2 x 7 x 17

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(102, 629) = 3774

GCD(102, 629) = ( 102 x 629 ) / 3774

GCD(102, 629) = 64158 / 3774

GCD(102, 629) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 35

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

LCM(17, 35) = 595

GCD(17, 35) = ( 17 x 35 ) / 595

GCD(17, 35) = 595 / 595

GCD(17, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

GCD of 102, 629, 35, 238 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 812, 377, 15, 955
• GCD of 403, 901, 53, 195
• GCD of 366, 626, 90, 792
• GCD of 250, 493, 50, 728
• GCD of 238, 243, 14, 552

1. What is the GCD of 102, 629, 35, 238?

GCD of 102, 629, 35, 238 is 1

2. Where do I get the detailed procedure to find GCD of 102, 629, 35, 238?

You can find a detailed procedure to find GCD of 102, 629, 35, 238 on our page.

3. How to find GCD of 102, 629, 35, 238 on a calculator?

You can find the GCD of 102, 629, 35, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.