GCD of 454, 276, 821 Calculator

Given Input numbers are 454, 276, 821

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 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 454, 276, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 276, 821 is 1.

Therefore, GCD of numbers 454, 276, 821 is 1

Given Input Data is 454, 276, 821

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

Prime Factorization of 454 is 2 x 227

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 821 is 821

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, 276) = 62652

GCD(454, 276) = ( 454 x 276 ) / 62652

GCD(454, 276) = 125304 / 62652

GCD(454, 276) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 821

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

LCM(2, 821) = 1642

GCD(2, 821) = ( 2 x 821 ) / 1642

GCD(2, 821) = 1642 / 1642

GCD(2, 821) = 1

GCD of 454, 276, 821 is 1

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1. What is the GCD of 454, 276, 821?

GCD of 454, 276, 821 is 1

2. Where do I get the detailed procedure to find GCD of 454, 276, 821?

You can find a detailed procedure to find GCD of 454, 276, 821 on our page.

3. How to find GCD of 454, 276, 821 on a calculator?

You can find the GCD of 454, 276, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.