GCD of 406, 194, 67, 202 Calculator

Given Input numbers are 406, 194, 67, 202

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

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 67

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

1, 67

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 406, 194, 67, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 194, 67, 202 is 1.

Therefore, GCD of numbers 406, 194, 67, 202 is 1

Given Input Data is 406, 194, 67, 202

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

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 194 is 2 x 97

Prime Factorization of 67 is 67

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(406, 194) = 39382

GCD(406, 194) = ( 406 x 194 ) / 39382

GCD(406, 194) = 78764 / 39382

GCD(406, 194) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 67

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

LCM(2, 67) = 134

GCD(2, 67) = ( 2 x 67 ) / 134

GCD(2, 67) = 134 / 134

GCD(2, 67) = 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 406, 194, 67, 202 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 661, 351, 25, 650
• GCD of 327, 371, 20, 246
• GCD of 603, 892, 13, 410
• GCD of 486, 152, 74, 706
• GCD of 498, 852, 71, 879

1. What is the GCD of 406, 194, 67, 202?

GCD of 406, 194, 67, 202 is 1

2. Where do I get the detailed procedure to find GCD of 406, 194, 67, 202?

You can find a detailed procedure to find GCD of 406, 194, 67, 202 on our page.

3. How to find GCD of 406, 194, 67, 202 on a calculator?

You can find the GCD of 406, 194, 67, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.