GCD of 357, 738, 505, 558 Calculator

Given Input numbers are 357, 738, 505, 558

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

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

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

Greatest Common Divisior

We found the divisors of 357, 738, 505, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 738, 505, 558 is 1.

Therefore, GCD of numbers 357, 738, 505, 558 is 1

Given Input Data is 357, 738, 505, 558

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 505 is 5 x 101

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

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(357, 738) = 87822

GCD(357, 738) = ( 357 x 738 ) / 87822

GCD(357, 738) = 263466 / 87822

GCD(357, 738) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 505

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

LCM(3, 505) = 1515

GCD(3, 505) = ( 3 x 505 ) / 1515

GCD(3, 505) = 1515 / 1515

GCD(3, 505) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

GCD of 357, 738, 505, 558 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 900, 642, 227, 455
• GCD of 882, 547, 184, 417
• GCD of 747, 663, 103, 743
• GCD of 811, 300, 328, 173
• GCD of 356, 768, 377, 286

1. What is the GCD of 357, 738, 505, 558?

GCD of 357, 738, 505, 558 is 1

2. Where do I get the detailed procedure to find GCD of 357, 738, 505, 558?

You can find a detailed procedure to find GCD of 357, 738, 505, 558 on our page.

3. How to find GCD of 357, 738, 505, 558 on a calculator?

You can find the GCD of 357, 738, 505, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.