GCD of 638, 870, 348 Calculator

Given Input numbers are 638, 870, 348

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

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

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 638, 870, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 870, 348 is 58.

Therefore, GCD of numbers 638, 870, 348 is 58

Given Input Data is 638, 870, 348

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

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 870 is 2 x 3 x 5 x 29

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

Highest common occurrences in the given inputs are 2¹ x 29¹

Multiplying them we get the GCD as 58

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(638, 870) = 9570

GCD(638, 870) = ( 638 x 870 ) / 9570

GCD(638, 870) = 555060 / 9570

GCD(638, 870) = 58

Step2:

Here we consider the GCD from the above i.e. 58 as first number and the next as 348

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

LCM(58, 348) = 348

GCD(58, 348) = ( 58 x 348 ) / 348

GCD(58, 348) = 20184 / 348

GCD(58, 348) = 58

GCD of 638, 870, 348 is 58

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1. What is the GCD of 638, 870, 348?

GCD of 638, 870, 348 is 58

2. Where do I get the detailed procedure to find GCD of 638, 870, 348?

You can find a detailed procedure to find GCD of 638, 870, 348 on our page.

3. How to find GCD of 638, 870, 348 on a calculator?

You can find the GCD of 638, 870, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.