GCD of 454, 395, 119, 824 Calculator

Given Input numbers are 454, 395, 119, 824

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

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 454, 395, 119, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 395, 119, 824 is 1.

Therefore, GCD of numbers 454, 395, 119, 824 is 1

Given Input Data is 454, 395, 119, 824

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

Prime Factorization of 454 is 2 x 227

Prime Factorization of 395 is 5 x 79

Prime Factorization of 119 is 7 x 17

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(454, 395) = 179330

GCD(454, 395) = ( 454 x 395 ) / 179330

GCD(454, 395) = 179330 / 179330

GCD(454, 395) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 119

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

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

GCD(1, 119) = 119 / 119

GCD(1, 119) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 454, 395, 119, 824 is 1

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1. What is the GCD of 454, 395, 119, 824?

GCD of 454, 395, 119, 824 is 1

2. Where do I get the detailed procedure to find GCD of 454, 395, 119, 824?

You can find a detailed procedure to find GCD of 454, 395, 119, 824 on our page.

3. How to find GCD of 454, 395, 119, 824 on a calculator?

You can find the GCD of 454, 395, 119, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.