GCD of 676, 543, 58, 348 Calculator

Given Input numbers are 676, 543, 58, 348

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 58

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

1, 2, 29, 58

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 676, 543, 58, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 543, 58, 348 is 1.

Therefore, GCD of numbers 676, 543, 58, 348 is 1

Given Input Data is 676, 543, 58, 348

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 543 is 3 x 181

Prime Factorization of 58 is 2 x 29

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

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(676, 543) = 367068

GCD(676, 543) = ( 676 x 543 ) / 367068

GCD(676, 543) = 367068 / 367068

GCD(676, 543) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 676, 543, 58, 348 is 1

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1. What is the GCD of 676, 543, 58, 348?

GCD of 676, 543, 58, 348 is 1

2. Where do I get the detailed procedure to find GCD of 676, 543, 58, 348?

You can find a detailed procedure to find GCD of 676, 543, 58, 348 on our page.

3. How to find GCD of 676, 543, 58, 348 on a calculator?

You can find the GCD of 676, 543, 58, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.