GCD of 362, 414, 578, 167 Calculator

Given Input numbers are 362, 414, 578, 167

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 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 578

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

1, 2, 17, 34, 289, 578

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Greatest Common Divisior

We found the divisors of 362, 414, 578, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 414, 578, 167 is 1.

Therefore, GCD of numbers 362, 414, 578, 167 is 1

Given Input Data is 362, 414, 578, 167

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 167 is 167

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, 414) = 74934

GCD(362, 414) = ( 362 x 414 ) / 74934

GCD(362, 414) = 149868 / 74934

GCD(362, 414) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 578

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

LCM(2, 578) = 578

GCD(2, 578) = ( 2 x 578 ) / 578

GCD(2, 578) = 1156 / 578

GCD(2, 578) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 167

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

LCM(2, 167) = 334

GCD(2, 167) = ( 2 x 167 ) / 334

GCD(2, 167) = 334 / 334

GCD(2, 167) = 1

GCD of 362, 414, 578, 167 is 1

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1. What is the GCD of 362, 414, 578, 167?

GCD of 362, 414, 578, 167 is 1

2. Where do I get the detailed procedure to find GCD of 362, 414, 578, 167?

You can find a detailed procedure to find GCD of 362, 414, 578, 167 on our page.

3. How to find GCD of 362, 414, 578, 167 on a calculator?

You can find the GCD of 362, 414, 578, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.