GCD of 558, 554, 77, 351 Calculator

Given Input numbers are 558, 554, 77, 351

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 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 558, 554, 77, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 554, 77, 351 is 1.

Therefore, GCD of numbers 558, 554, 77, 351 is 1

Given Input Data is 558, 554, 77, 351

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 554 is 2 x 277

Prime Factorization of 77 is 7 x 11

Prime Factorization of 351 is 3 x 3 x 3 x 13

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, 554) = 154566

GCD(558, 554) = ( 558 x 554 ) / 154566

GCD(558, 554) = 309132 / 154566

GCD(558, 554) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

GCD of 558, 554, 77, 351 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 594, 645, 79, 712
• GCD of 212, 213, 46, 762
• GCD of 842, 829, 26, 402
• GCD of 270, 247, 39, 724
• GCD of 762, 554, 94, 463

1. What is the GCD of 558, 554, 77, 351?

GCD of 558, 554, 77, 351 is 1

2. Where do I get the detailed procedure to find GCD of 558, 554, 77, 351?

You can find a detailed procedure to find GCD of 558, 554, 77, 351 on our page.

3. How to find GCD of 558, 554, 77, 351 on a calculator?

You can find the GCD of 558, 554, 77, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.