GCD of 367, 578, 45, 358 Calculator

Given Input numbers are 367, 578, 45, 358

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

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 367, 578, 45, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 367, 578, 45, 358 is 1.

Therefore, GCD of numbers 367, 578, 45, 358 is 1

Given Input Data is 367, 578, 45, 358

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

Prime Factorization of 367 is 367

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 358 is 2 x 179

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(367, 578) = 212126

GCD(367, 578) = ( 367 x 578 ) / 212126

GCD(367, 578) = 212126 / 212126

GCD(367, 578) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 367, 578, 45, 358 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 135, 23, 162
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• GCD of 258, 938, 94, 732

1. What is the GCD of 367, 578, 45, 358?

GCD of 367, 578, 45, 358 is 1

2. Where do I get the detailed procedure to find GCD of 367, 578, 45, 358?

You can find a detailed procedure to find GCD of 367, 578, 45, 358 on our page.

3. How to find GCD of 367, 578, 45, 358 on a calculator?

You can find the GCD of 367, 578, 45, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.