GCD of 427, 361, 202, 261 Calculator

Given Input numbers are 427, 361, 202, 261

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

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 202

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

1, 2, 101, 202

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Greatest Common Divisior

We found the divisors of 427, 361, 202, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 361, 202, 261 is 1.

Therefore, GCD of numbers 427, 361, 202, 261 is 1

Given Input Data is 427, 361, 202, 261

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

Prime Factorization of 427 is 7 x 61

Prime Factorization of 361 is 19 x 19

Prime Factorization of 202 is 2 x 101

Prime Factorization of 261 is 3 x 3 x 29

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(427, 361) = 154147

GCD(427, 361) = ( 427 x 361 ) / 154147

GCD(427, 361) = 154147 / 154147

GCD(427, 361) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 261

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

LCM(1, 261) = 261

GCD(1, 261) = ( 1 x 261 ) / 261

GCD(1, 261) = 261 / 261

GCD(1, 261) = 1

GCD of 427, 361, 202, 261 is 1

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1. What is the GCD of 427, 361, 202, 261?

GCD of 427, 361, 202, 261 is 1

2. Where do I get the detailed procedure to find GCD of 427, 361, 202, 261?

You can find a detailed procedure to find GCD of 427, 361, 202, 261 on our page.

3. How to find GCD of 427, 361, 202, 261 on a calculator?

You can find the GCD of 427, 361, 202, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.