GCD of 454, 690, 87, 227 Calculator

Given Input numbers are 454, 690, 87, 227

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 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Greatest Common Divisior

We found the divisors of 454, 690, 87, 227 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 690, 87, 227 is 1.

Therefore, GCD of numbers 454, 690, 87, 227 is 1

Given Input Data is 454, 690, 87, 227

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

Prime Factorization of 454 is 2 x 227

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 87 is 3 x 29

Prime Factorization of 227 is 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(454, 690) = 156630

GCD(454, 690) = ( 454 x 690 ) / 156630

GCD(454, 690) = 313260 / 156630

GCD(454, 690) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 87

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

LCM(2, 87) = 174

GCD(2, 87) = ( 2 x 87 ) / 174

GCD(2, 87) = 174 / 174

GCD(2, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 227

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

LCM(1, 227) = 227

GCD(1, 227) = ( 1 x 227 ) / 227

GCD(1, 227) = 227 / 227

GCD(1, 227) = 1

GCD of 454, 690, 87, 227 is 1

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• GCD of 438, 497, 58, 331
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• GCD of 277, 323, 48, 917

1. What is the GCD of 454, 690, 87, 227?

GCD of 454, 690, 87, 227 is 1

2. Where do I get the detailed procedure to find GCD of 454, 690, 87, 227?

You can find a detailed procedure to find GCD of 454, 690, 87, 227 on our page.

3. How to find GCD of 454, 690, 87, 227 on a calculator?

You can find the GCD of 454, 690, 87, 227 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.