GCD of 643, 345, 51, 361 Calculator

Given Input numbers are 643, 345, 51, 361

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

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

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 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 643, 345, 51, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 345, 51, 361 is 1.

Therefore, GCD of numbers 643, 345, 51, 361 is 1

Given Input Data is 643, 345, 51, 361

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

Prime Factorization of 643 is 643

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 51 is 3 x 17

Prime Factorization of 361 is 19 x 19

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(643, 345) = 221835

GCD(643, 345) = ( 643 x 345 ) / 221835

GCD(643, 345) = 221835 / 221835

GCD(643, 345) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 643, 345, 51, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 421, 305, 45, 107
• GCD of 394, 342, 42, 135
• GCD of 298, 553, 99, 267
• GCD of 863, 470, 19, 254
• GCD of 476, 611, 99, 857

1. What is the GCD of 643, 345, 51, 361?

GCD of 643, 345, 51, 361 is 1

2. Where do I get the detailed procedure to find GCD of 643, 345, 51, 361?

You can find a detailed procedure to find GCD of 643, 345, 51, 361 on our page.

3. How to find GCD of 643, 345, 51, 361 on a calculator?

You can find the GCD of 643, 345, 51, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.