GCD of 635, 271, 12, 102 Calculator

Given Input numbers are 635, 271, 12, 102

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

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 102

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

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

Greatest Common Divisior

We found the divisors of 635, 271, 12, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 635, 271, 12, 102 is 1.

Therefore, GCD of numbers 635, 271, 12, 102 is 1

Given Input Data is 635, 271, 12, 102

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

Prime Factorization of 635 is 5 x 127

Prime Factorization of 271 is 271

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 102 is 2 x 3 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(635, 271) = 172085

GCD(635, 271) = ( 635 x 271 ) / 172085

GCD(635, 271) = 172085 / 172085

GCD(635, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 102

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

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

GCD(1, 102) = 102 / 102

GCD(1, 102) = 1

GCD of 635, 271, 12, 102 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 637, 262, 26, 814
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• GCD of 331, 488, 68, 439
• GCD of 296, 353, 51, 298
• GCD of 415, 855, 20, 780

1. What is the GCD of 635, 271, 12, 102?

GCD of 635, 271, 12, 102 is 1

2. Where do I get the detailed procedure to find GCD of 635, 271, 12, 102?

You can find a detailed procedure to find GCD of 635, 271, 12, 102 on our page.

3. How to find GCD of 635, 271, 12, 102 on a calculator?

You can find the GCD of 635, 271, 12, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.