GCD of 345, 199, 76, 143 Calculator

Given Input numbers are 345, 199, 76, 143

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

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 345, 199, 76, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 199, 76, 143 is 1.

Therefore, GCD of numbers 345, 199, 76, 143 is 1

Given Input Data is 345, 199, 76, 143

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 199 is 199

Prime Factorization of 76 is 2 x 2 x 19

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(345, 199) = 68655

GCD(345, 199) = ( 345 x 199 ) / 68655

GCD(345, 199) = 68655 / 68655

GCD(345, 199) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

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 345, 199, 76, 143 is 1

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• GCD of 327, 649, 23, 329
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1. What is the GCD of 345, 199, 76, 143?

GCD of 345, 199, 76, 143 is 1

2. Where do I get the detailed procedure to find GCD of 345, 199, 76, 143?

You can find a detailed procedure to find GCD of 345, 199, 76, 143 on our page.

3. How to find GCD of 345, 199, 76, 143 on a calculator?

You can find the GCD of 345, 199, 76, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.