GCD of 362, 557, 118, 404 Calculator

Given Input numbers are 362, 557, 118, 404

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 362, 557, 118, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 557, 118, 404 is 1.

Therefore, GCD of numbers 362, 557, 118, 404 is 1

Given Input Data is 362, 557, 118, 404

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 557 is 557

Prime Factorization of 118 is 2 x 59

Prime Factorization of 404 is 2 x 2 x 101

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(362, 557) = 201634

GCD(362, 557) = ( 362 x 557 ) / 201634

GCD(362, 557) = 201634 / 201634

GCD(362, 557) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

GCD of 362, 557, 118, 404 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 715, 709, 314, 215
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• GCD of 912, 857, 757, 325
• GCD of 386, 892, 360, 332

1. What is the GCD of 362, 557, 118, 404?

GCD of 362, 557, 118, 404 is 1

2. Where do I get the detailed procedure to find GCD of 362, 557, 118, 404?

You can find a detailed procedure to find GCD of 362, 557, 118, 404 on our page.

3. How to find GCD of 362, 557, 118, 404 on a calculator?

You can find the GCD of 362, 557, 118, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.