GCD of 402, 469, 73, 116 Calculator

Given Input numbers are 402, 469, 73, 116

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

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 402, 469, 73, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 469, 73, 116 is 1.

Therefore, GCD of numbers 402, 469, 73, 116 is 1

Given Input Data is 402, 469, 73, 116

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 469 is 7 x 67

Prime Factorization of 73 is 73

Prime Factorization of 116 is 2 x 2 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(402, 469) = 2814

GCD(402, 469) = ( 402 x 469 ) / 2814

GCD(402, 469) = 188538 / 2814

GCD(402, 469) = 67

Step2:

Here we consider the GCD from the above i.e. 67 as first number and the next as 73

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

LCM(67, 73) = 4891

GCD(67, 73) = ( 67 x 73 ) / 4891

GCD(67, 73) = 4891 / 4891

GCD(67, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 402, 469, 73, 116 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 521, 265, 29, 875
• GCD of 902, 786, 10, 453
• GCD of 199, 896, 59, 866
• GCD of 362, 210, 92, 218
• GCD of 225, 273, 21, 691

1. What is the GCD of 402, 469, 73, 116?

GCD of 402, 469, 73, 116 is 1

2. Where do I get the detailed procedure to find GCD of 402, 469, 73, 116?

You can find a detailed procedure to find GCD of 402, 469, 73, 116 on our page.

3. How to find GCD of 402, 469, 73, 116 on a calculator?

You can find the GCD of 402, 469, 73, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.