GCD of 736, 214, 597 Calculator

Given Input numbers are 736, 214, 597

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 214

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

1, 2, 107, 214

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Greatest Common Divisior

We found the divisors of 736, 214, 597 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 214, 597 is 1.

Therefore, GCD of numbers 736, 214, 597 is 1

Given Input Data is 736, 214, 597

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 214 is 2 x 107

Prime Factorization of 597 is 3 x 199

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(736, 214) = 78752

GCD(736, 214) = ( 736 x 214 ) / 78752

GCD(736, 214) = 157504 / 78752

GCD(736, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 597

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

LCM(2, 597) = 1194

GCD(2, 597) = ( 2 x 597 ) / 1194

GCD(2, 597) = 1194 / 1194

GCD(2, 597) = 1

GCD of 736, 214, 597 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 105, 357
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1. What is the GCD of 736, 214, 597?

GCD of 736, 214, 597 is 1

2. Where do I get the detailed procedure to find GCD of 736, 214, 597?

You can find a detailed procedure to find GCD of 736, 214, 597 on our page.

3. How to find GCD of 736, 214, 597 on a calculator?

You can find the GCD of 736, 214, 597 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.