GCD of 493, 967, 398, 609 Calculator

Given Input numbers are 493, 967, 398, 609

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

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Greatest Common Divisior

We found the divisors of 493, 967, 398, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 967, 398, 609 is 1.

Therefore, GCD of numbers 493, 967, 398, 609 is 1

Given Input Data is 493, 967, 398, 609

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 967 is 967

Prime Factorization of 398 is 2 x 199

Prime Factorization of 609 is 3 x 7 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(493, 967) = 476731

GCD(493, 967) = ( 493 x 967 ) / 476731

GCD(493, 967) = 476731 / 476731

GCD(493, 967) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 609

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

LCM(1, 609) = 609

GCD(1, 609) = ( 1 x 609 ) / 609

GCD(1, 609) = 609 / 609

GCD(1, 609) = 1

GCD of 493, 967, 398, 609 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 905, 813, 280, 809
• GCD of 347, 972, 336, 909
• GCD of 633, 921, 411, 118
• GCD of 905, 968, 498, 333
• GCD of 868, 337, 483, 987

1. What is the GCD of 493, 967, 398, 609?

GCD of 493, 967, 398, 609 is 1

2. Where do I get the detailed procedure to find GCD of 493, 967, 398, 609?

You can find a detailed procedure to find GCD of 493, 967, 398, 609 on our page.

3. How to find GCD of 493, 967, 398, 609 on a calculator?

You can find the GCD of 493, 967, 398, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.