GCD of 634, 208, 49, 348 Calculator

Given Input numbers are 634, 208, 49, 348

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

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 634, 208, 49, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 208, 49, 348 is 1.

Therefore, GCD of numbers 634, 208, 49, 348 is 1

Given Input Data is 634, 208, 49, 348

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

Prime Factorization of 634 is 2 x 317

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 49 is 7 x 7

Prime Factorization of 348 is 2 x 2 x 3 x 29

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(634, 208) = 65936

GCD(634, 208) = ( 634 x 208 ) / 65936

GCD(634, 208) = 131872 / 65936

GCD(634, 208) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 634, 208, 49, 348 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 330, 87, 278
• GCD of 117, 437, 26, 926
• GCD of 338, 349, 11, 819
• GCD of 248, 721, 84, 963
• GCD of 816, 710, 18, 563

1. What is the GCD of 634, 208, 49, 348?

GCD of 634, 208, 49, 348 is 1

2. Where do I get the detailed procedure to find GCD of 634, 208, 49, 348?

You can find a detailed procedure to find GCD of 634, 208, 49, 348 on our page.

3. How to find GCD of 634, 208, 49, 348 on a calculator?

You can find the GCD of 634, 208, 49, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.