GCD of 374, 341, 58, 223 Calculator

Given Input numbers are 374, 341, 58, 223

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

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 341

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

1, 11, 31, 341

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Greatest Common Divisior

We found the divisors of 374, 341, 58, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 341, 58, 223 is 1.

Therefore, GCD of numbers 374, 341, 58, 223 is 1

Given Input Data is 374, 341, 58, 223

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 341 is 11 x 31

Prime Factorization of 58 is 2 x 29

Prime Factorization of 223 is 223

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(374, 341) = 11594

GCD(374, 341) = ( 374 x 341 ) / 11594

GCD(374, 341) = 127534 / 11594

GCD(374, 341) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 58

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

LCM(11, 58) = 638

GCD(11, 58) = ( 11 x 58 ) / 638

GCD(11, 58) = 638 / 638

GCD(11, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 223

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

LCM(1, 223) = 223

GCD(1, 223) = ( 1 x 223 ) / 223

GCD(1, 223) = 223 / 223

GCD(1, 223) = 1

GCD of 374, 341, 58, 223 is 1

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• GCD of 148, 975, 64, 749
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• GCD of 876, 879, 69, 534

1. What is the GCD of 374, 341, 58, 223?

GCD of 374, 341, 58, 223 is 1

2. Where do I get the detailed procedure to find GCD of 374, 341, 58, 223?

You can find a detailed procedure to find GCD of 374, 341, 58, 223 on our page.

3. How to find GCD of 374, 341, 58, 223 on a calculator?

You can find the GCD of 374, 341, 58, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.