GCD of 348, 664, 15, 838 Calculator

Given Input numbers are 348, 664, 15, 838

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

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

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 348, 664, 15, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 664, 15, 838 is 1.

Therefore, GCD of numbers 348, 664, 15, 838 is 1

Given Input Data is 348, 664, 15, 838

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

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

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 15 is 3 x 5

Prime Factorization of 838 is 2 x 419

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(348, 664) = 57768

GCD(348, 664) = ( 348 x 664 ) / 57768

GCD(348, 664) = 231072 / 57768

GCD(348, 664) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 15

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

LCM(4, 15) = 60

GCD(4, 15) = ( 4 x 15 ) / 60

GCD(4, 15) = 60 / 60

GCD(4, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

GCD of 348, 664, 15, 838 is 1

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1. What is the GCD of 348, 664, 15, 838?

GCD of 348, 664, 15, 838 is 1

2. Where do I get the detailed procedure to find GCD of 348, 664, 15, 838?

You can find a detailed procedure to find GCD of 348, 664, 15, 838 on our page.

3. How to find GCD of 348, 664, 15, 838 on a calculator?

You can find the GCD of 348, 664, 15, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.