GCD of 747, 361, 214 Calculator

Given Input numbers are 747, 361, 214

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 361

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

1, 19, 361

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 747, 361, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 361, 214 is 1.

Therefore, GCD of numbers 747, 361, 214 is 1

Given Input Data is 747, 361, 214

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 361 is 19 x 19

Prime Factorization of 214 is 2 x 107

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(747, 361) = 269667

GCD(747, 361) = ( 747 x 361 ) / 269667

GCD(747, 361) = 269667 / 269667

GCD(747, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 747, 361, 214 is 1

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1. What is the GCD of 747, 361, 214?

GCD of 747, 361, 214 is 1

2. Where do I get the detailed procedure to find GCD of 747, 361, 214?

You can find a detailed procedure to find GCD of 747, 361, 214 on our page.

3. How to find GCD of 747, 361, 214 on a calculator?

You can find the GCD of 747, 361, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.