GCD of 454, 862, 865, 189 Calculator

Given Input numbers are 454, 862, 865, 189

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 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 454, 862, 865, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 862, 865, 189 is 1.

Therefore, GCD of numbers 454, 862, 865, 189 is 1

Given Input Data is 454, 862, 865, 189

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

Prime Factorization of 454 is 2 x 227

Prime Factorization of 862 is 2 x 431

Prime Factorization of 865 is 5 x 173

Prime Factorization of 189 is 3 x 3 x 3 x 7

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, 862) = 195674

GCD(454, 862) = ( 454 x 862 ) / 195674

GCD(454, 862) = 391348 / 195674

GCD(454, 862) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 865

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

LCM(2, 865) = 1730

GCD(2, 865) = ( 2 x 865 ) / 1730

GCD(2, 865) = 1730 / 1730

GCD(2, 865) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 454, 862, 865, 189 is 1

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1. What is the GCD of 454, 862, 865, 189?

GCD of 454, 862, 865, 189 is 1

2. Where do I get the detailed procedure to find GCD of 454, 862, 865, 189?

You can find a detailed procedure to find GCD of 454, 862, 865, 189 on our page.

3. How to find GCD of 454, 862, 865, 189 on a calculator?

You can find the GCD of 454, 862, 865, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.