GCD of 828, 562, 107, 454 Calculator

Given Input numbers are 828, 562, 107, 454

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 454

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

1, 2, 227, 454

Greatest Common Divisior

We found the divisors of 828, 562, 107, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 562, 107, 454 is 1.

Therefore, GCD of numbers 828, 562, 107, 454 is 1

Given Input Data is 828, 562, 107, 454

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 562 is 2 x 281

Prime Factorization of 107 is 107

Prime Factorization of 454 is 2 x 227

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(828, 562) = 232668

GCD(828, 562) = ( 828 x 562 ) / 232668

GCD(828, 562) = 465336 / 232668

GCD(828, 562) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 107

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

LCM(2, 107) = 214

GCD(2, 107) = ( 2 x 107 ) / 214

GCD(2, 107) = 214 / 214

GCD(2, 107) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 454

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

LCM(1, 454) = 454

GCD(1, 454) = ( 1 x 454 ) / 454

GCD(1, 454) = 454 / 454

GCD(1, 454) = 1

GCD of 828, 562, 107, 454 is 1

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1. What is the GCD of 828, 562, 107, 454?

GCD of 828, 562, 107, 454 is 1

2. Where do I get the detailed procedure to find GCD of 828, 562, 107, 454?

You can find a detailed procedure to find GCD of 828, 562, 107, 454 on our page.

3. How to find GCD of 828, 562, 107, 454 on a calculator?

You can find the GCD of 828, 562, 107, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.