GCD of 313, 727, 402, 409 Calculator

Given Input numbers are 313, 727, 402, 409

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

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

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 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Greatest Common Divisior

We found the divisors of 313, 727, 402, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 727, 402, 409 is 1.

Therefore, GCD of numbers 313, 727, 402, 409 is 1

Given Input Data is 313, 727, 402, 409

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

Prime Factorization of 313 is 313

Prime Factorization of 727 is 727

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 409 is 409

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(313, 727) = 227551

GCD(313, 727) = ( 313 x 727 ) / 227551

GCD(313, 727) = 227551 / 227551

GCD(313, 727) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

GCD of 313, 727, 402, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 258, 923, 820, 888
• GCD of 501, 826, 843, 369
• GCD of 791, 947, 312, 298
• GCD of 166, 148, 564, 506
• GCD of 413, 471, 682, 140

1. What is the GCD of 313, 727, 402, 409?

GCD of 313, 727, 402, 409 is 1

2. Where do I get the detailed procedure to find GCD of 313, 727, 402, 409?

You can find a detailed procedure to find GCD of 313, 727, 402, 409 on our page.

3. How to find GCD of 313, 727, 402, 409 on a calculator?

You can find the GCD of 313, 727, 402, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.