GCD of 558, 676, 23, 370 Calculator

Given Input numbers are 558, 676, 23, 370

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

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

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 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 558, 676, 23, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 676, 23, 370 is 1.

Therefore, GCD of numbers 558, 676, 23, 370 is 1

Given Input Data is 558, 676, 23, 370

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

Prime Factorization of 558 is 2 x 3 x 3 x 31

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

Prime Factorization of 23 is 23

Prime Factorization of 370 is 2 x 5 x 37

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(558, 676) = 188604

GCD(558, 676) = ( 558 x 676 ) / 188604

GCD(558, 676) = 377208 / 188604

GCD(558, 676) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 23

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

LCM(2, 23) = 46

GCD(2, 23) = ( 2 x 23 ) / 46

GCD(2, 23) = 46 / 46

GCD(2, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

GCD of 558, 676, 23, 370 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 234, 24, 848
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• GCD of 397, 410, 60, 444
• GCD of 897, 596, 34, 233
• GCD of 396, 696, 45, 593

1. What is the GCD of 558, 676, 23, 370?

GCD of 558, 676, 23, 370 is 1

2. Where do I get the detailed procedure to find GCD of 558, 676, 23, 370?

You can find a detailed procedure to find GCD of 558, 676, 23, 370 on our page.

3. How to find GCD of 558, 676, 23, 370 on a calculator?

You can find the GCD of 558, 676, 23, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.