GCD of 558, 682, 74, 914 Calculator

Given Input numbers are 558, 682, 74, 914

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 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 558, 682, 74, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 682, 74, 914 is 2.

Therefore, GCD of numbers 558, 682, 74, 914 is 2

Given Input Data is 558, 682, 74, 914

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 682 is 2 x 11 x 31

Prime Factorization of 74 is 2 x 37

Prime Factorization of 914 is 2 x 457

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 682) = 6138

GCD(558, 682) = ( 558 x 682 ) / 6138

GCD(558, 682) = 380556 / 6138

GCD(558, 682) = 62

Step2:

Here we consider the GCD from the above i.e. 62 as first number and the next as 74

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

LCM(62, 74) = 2294

GCD(62, 74) = ( 62 x 74 ) / 2294

GCD(62, 74) = 4588 / 2294

GCD(62, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 914

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

LCM(2, 914) = 914

GCD(2, 914) = ( 2 x 914 ) / 914

GCD(2, 914) = 1828 / 914

GCD(2, 914) = 2

GCD of 558, 682, 74, 914 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 996, 367, 86, 587
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• GCD of 522, 708, 98, 587
• GCD of 693, 531, 91, 153
• GCD of 523, 528, 36, 265

1. What is the GCD of 558, 682, 74, 914?

GCD of 558, 682, 74, 914 is 2

2. Where do I get the detailed procedure to find GCD of 558, 682, 74, 914?

You can find a detailed procedure to find GCD of 558, 682, 74, 914 on our page.

3. How to find GCD of 558, 682, 74, 914 on a calculator?

You can find the GCD of 558, 682, 74, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.