GCD of 578, 110, 58, 343 Calculator

Given Input numbers are 578, 110, 58, 343

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

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 58

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

1, 2, 29, 58

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 578, 110, 58, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 110, 58, 343 is 1.

Therefore, GCD of numbers 578, 110, 58, 343 is 1

Given Input Data is 578, 110, 58, 343

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

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 58 is 2 x 29

Prime Factorization of 343 is 7 x 7 x 7

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(578, 110) = 31790

GCD(578, 110) = ( 578 x 110 ) / 31790

GCD(578, 110) = 63580 / 31790

GCD(578, 110) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 343

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

LCM(2, 343) = 686

GCD(2, 343) = ( 2 x 343 ) / 686

GCD(2, 343) = 686 / 686

GCD(2, 343) = 1

GCD of 578, 110, 58, 343 is 1

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• GCD of 102, 514, 33, 399
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1. What is the GCD of 578, 110, 58, 343?

GCD of 578, 110, 58, 343 is 1

2. Where do I get the detailed procedure to find GCD of 578, 110, 58, 343?

You can find a detailed procedure to find GCD of 578, 110, 58, 343 on our page.

3. How to find GCD of 578, 110, 58, 343 on a calculator?

You can find the GCD of 578, 110, 58, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.