GCD of 397, 385, 610, 343 Calculator

Given Input numbers are 397, 385, 610, 343

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

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 397, 385, 610, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 385, 610, 343 is 1.

Therefore, GCD of numbers 397, 385, 610, 343 is 1

Given Input Data is 397, 385, 610, 343

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

Prime Factorization of 397 is 397

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 343 is 7 x 7 x 7

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(397, 385) = 152845

GCD(397, 385) = ( 397 x 385 ) / 152845

GCD(397, 385) = 152845 / 152845

GCD(397, 385) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 610

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

LCM(1, 610) = 610

GCD(1, 610) = ( 1 x 610 ) / 610

GCD(1, 610) = 610 / 610

GCD(1, 610) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 397, 385, 610, 343 is 1

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1. What is the GCD of 397, 385, 610, 343?

GCD of 397, 385, 610, 343 is 1

2. Where do I get the detailed procedure to find GCD of 397, 385, 610, 343?

You can find a detailed procedure to find GCD of 397, 385, 610, 343 on our page.

3. How to find GCD of 397, 385, 610, 343 on a calculator?

You can find the GCD of 397, 385, 610, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.