GCD of 341, 300, 143 Calculator

Given Input numbers are 341, 300, 143

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

Divisors of 341

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

1, 11, 31, 341

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 143

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

1, 11, 13, 143

Greatest Common Divisior

We found the divisors of 341, 300, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 341, 300, 143 is 1.

Therefore, GCD of numbers 341, 300, 143 is 1

Given Input Data is 341, 300, 143

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

Prime Factorization of 341 is 11 x 31

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 143 is 11 x 13

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(341, 300) = 102300

GCD(341, 300) = ( 341 x 300 ) / 102300

GCD(341, 300) = 102300 / 102300

GCD(341, 300) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 143

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

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

GCD(1, 143) = 143 / 143

GCD(1, 143) = 1

GCD of 341, 300, 143 is 1

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1. What is the GCD of 341, 300, 143?

GCD of 341, 300, 143 is 1

2. Where do I get the detailed procedure to find GCD of 341, 300, 143?

You can find a detailed procedure to find GCD of 341, 300, 143 on our page.

3. How to find GCD of 341, 300, 143 on a calculator?

You can find the GCD of 341, 300, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.