GCD of 305, 971, 343, 388 Calculator

Given Input numbers are 305, 971, 343, 388

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 343

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

1, 7, 49, 343

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Greatest Common Divisior

We found the divisors of 305, 971, 343, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 971, 343, 388 is 1.

Therefore, GCD of numbers 305, 971, 343, 388 is 1

Given Input Data is 305, 971, 343, 388

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 971 is 971

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 388 is 2 x 2 x 97

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(305, 971) = 296155

GCD(305, 971) = ( 305 x 971 ) / 296155

GCD(305, 971) = 296155 / 296155

GCD(305, 971) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 388

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

LCM(1, 388) = 388

GCD(1, 388) = ( 1 x 388 ) / 388

GCD(1, 388) = 388 / 388

GCD(1, 388) = 1

GCD of 305, 971, 343, 388 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 597, 896, 566, 569
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• GCD of 327, 380, 744, 542

1. What is the GCD of 305, 971, 343, 388?

GCD of 305, 971, 343, 388 is 1

2. Where do I get the detailed procedure to find GCD of 305, 971, 343, 388?

You can find a detailed procedure to find GCD of 305, 971, 343, 388 on our page.

3. How to find GCD of 305, 971, 343, 388 on a calculator?

You can find the GCD of 305, 971, 343, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.