GCD of 202, 413, 87, 364 Calculator

Given Input numbers are 202, 413, 87, 364

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

Divisors of 202

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

1, 2, 101, 202

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 202, 413, 87, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 413, 87, 364 is 1.

Therefore, GCD of numbers 202, 413, 87, 364 is 1

Given Input Data is 202, 413, 87, 364

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

Prime Factorization of 202 is 2 x 101

Prime Factorization of 413 is 7 x 59

Prime Factorization of 87 is 3 x 29

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(202, 413) = 83426

GCD(202, 413) = ( 202 x 413 ) / 83426

GCD(202, 413) = 83426 / 83426

GCD(202, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 202, 413, 87, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 881, 796, 13, 131
• GCD of 994, 174, 70, 547
• GCD of 401, 419, 17, 262
• GCD of 888, 341, 97, 856
• GCD of 774, 580, 44, 715

1. What is the GCD of 202, 413, 87, 364?

GCD of 202, 413, 87, 364 is 1

2. Where do I get the detailed procedure to find GCD of 202, 413, 87, 364?

You can find a detailed procedure to find GCD of 202, 413, 87, 364 on our page.

3. How to find GCD of 202, 413, 87, 364 on a calculator?

You can find the GCD of 202, 413, 87, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.