GCD of 454, 897, 67, 199 Calculator

Given Input numbers are 454, 897, 67, 199

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 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Greatest Common Divisior

We found the divisors of 454, 897, 67, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 897, 67, 199 is 1.

Therefore, GCD of numbers 454, 897, 67, 199 is 1

Given Input Data is 454, 897, 67, 199

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

Prime Factorization of 454 is 2 x 227

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 67 is 67

Prime Factorization of 199 is 199

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, 897) = 407238

GCD(454, 897) = ( 454 x 897 ) / 407238

GCD(454, 897) = 407238 / 407238

GCD(454, 897) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

GCD of 454, 897, 67, 199 is 1

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1. What is the GCD of 454, 897, 67, 199?

GCD of 454, 897, 67, 199 is 1

2. Where do I get the detailed procedure to find GCD of 454, 897, 67, 199?

You can find a detailed procedure to find GCD of 454, 897, 67, 199 on our page.

3. How to find GCD of 454, 897, 67, 199 on a calculator?

You can find the GCD of 454, 897, 67, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.