GCD of 898, 207, 345, 206 Calculator

Given Input numbers are 898, 207, 345, 206

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 898, 207, 345, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 207, 345, 206 is 1.

Therefore, GCD of numbers 898, 207, 345, 206 is 1

Given Input Data is 898, 207, 345, 206

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 206 is 2 x 103

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(898, 207) = 185886

GCD(898, 207) = ( 898 x 207 ) / 185886

GCD(898, 207) = 185886 / 185886

GCD(898, 207) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 206

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

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

GCD(1, 206) = 206 / 206

GCD(1, 206) = 1

GCD of 898, 207, 345, 206 is 1

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1. What is the GCD of 898, 207, 345, 206?

GCD of 898, 207, 345, 206 is 1

2. Where do I get the detailed procedure to find GCD of 898, 207, 345, 206?

You can find a detailed procedure to find GCD of 898, 207, 345, 206 on our page.

3. How to find GCD of 898, 207, 345, 206 on a calculator?

You can find the GCD of 898, 207, 345, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.