GCD of 638, 112, 705, 341 Calculator

Given Input numbers are 638, 112, 705, 341

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 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 638, 112, 705, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 112, 705, 341 is 1.

Therefore, GCD of numbers 638, 112, 705, 341 is 1

Given Input Data is 638, 112, 705, 341

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 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 341 is 11 x 31

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(638, 112) = 35728

GCD(638, 112) = ( 638 x 112 ) / 35728

GCD(638, 112) = 71456 / 35728

GCD(638, 112) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 705

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

LCM(2, 705) = 1410

GCD(2, 705) = ( 2 x 705 ) / 1410

GCD(2, 705) = 1410 / 1410

GCD(2, 705) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 638, 112, 705, 341 is 1

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1. What is the GCD of 638, 112, 705, 341?

GCD of 638, 112, 705, 341 is 1

2. Where do I get the detailed procedure to find GCD of 638, 112, 705, 341?

You can find a detailed procedure to find GCD of 638, 112, 705, 341 on our page.

3. How to find GCD of 638, 112, 705, 341 on a calculator?

You can find the GCD of 638, 112, 705, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.