GCD of 867, 258, 398, 202 Calculator

Given Input numbers are 867, 258, 398, 202

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

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Greatest Common Divisior

We found the divisors of 867, 258, 398, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 258, 398, 202 is 1.

Therefore, GCD of numbers 867, 258, 398, 202 is 1

Given Input Data is 867, 258, 398, 202

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

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 398 is 2 x 199

Prime Factorization of 202 is 2 x 101

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(867, 258) = 74562

GCD(867, 258) = ( 867 x 258 ) / 74562

GCD(867, 258) = 223686 / 74562

GCD(867, 258) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 398

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

LCM(3, 398) = 1194

GCD(3, 398) = ( 3 x 398 ) / 1194

GCD(3, 398) = 1194 / 1194

GCD(3, 398) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 202

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

LCM(1, 202) = 202

GCD(1, 202) = ( 1 x 202 ) / 202

GCD(1, 202) = 202 / 202

GCD(1, 202) = 1

GCD of 867, 258, 398, 202 is 1

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1. What is the GCD of 867, 258, 398, 202?

GCD of 867, 258, 398, 202 is 1

2. Where do I get the detailed procedure to find GCD of 867, 258, 398, 202?

You can find a detailed procedure to find GCD of 867, 258, 398, 202 on our page.

3. How to find GCD of 867, 258, 398, 202 on a calculator?

You can find the GCD of 867, 258, 398, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.