GCD of 457, 143, 368, 341 Calculator

Given Input numbers are 457, 143, 368, 341

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

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 457, 143, 368, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 143, 368, 341 is 1.

Therefore, GCD of numbers 457, 143, 368, 341 is 1

Given Input Data is 457, 143, 368, 341

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

Prime Factorization of 457 is 457

Prime Factorization of 143 is 11 x 13

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 341 is 11 x 31

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(457, 143) = 65351

GCD(457, 143) = ( 457 x 143 ) / 65351

GCD(457, 143) = 65351 / 65351

GCD(457, 143) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 368

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

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

GCD(1, 368) = 368 / 368

GCD(1, 368) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 457, 143, 368, 341 is 1

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1. What is the GCD of 457, 143, 368, 341?

GCD of 457, 143, 368, 341 is 1

2. Where do I get the detailed procedure to find GCD of 457, 143, 368, 341?

You can find a detailed procedure to find GCD of 457, 143, 368, 341 on our page.

3. How to find GCD of 457, 143, 368, 341 on a calculator?

You can find the GCD of 457, 143, 368, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.