GCD of 606, 714, 749 Calculator

Given Input numbers are 606, 714, 749

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

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 606, 714, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 606, 714, 749 is 1.

Therefore, GCD of numbers 606, 714, 749 is 1

Given Input Data is 606, 714, 749

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

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 749 is 7 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(606, 714) = 72114

GCD(606, 714) = ( 606 x 714 ) / 72114

GCD(606, 714) = 432684 / 72114

GCD(606, 714) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 749

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

LCM(6, 749) = 4494

GCD(6, 749) = ( 6 x 749 ) / 4494

GCD(6, 749) = 4494 / 4494

GCD(6, 749) = 1

GCD of 606, 714, 749 is 1

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1. What is the GCD of 606, 714, 749?

GCD of 606, 714, 749 is 1

2. Where do I get the detailed procedure to find GCD of 606, 714, 749?

You can find a detailed procedure to find GCD of 606, 714, 749 on our page.

3. How to find GCD of 606, 714, 749 on a calculator?

You can find the GCD of 606, 714, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.