GCD of 706, 949, 697 Calculator

Given Input numbers are 706, 949, 697

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 706, 949, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 949, 697 is 1.

Therefore, GCD of numbers 706, 949, 697 is 1

Given Input Data is 706, 949, 697

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 949 is 13 x 73

Prime Factorization of 697 is 17 x 41

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(706, 949) = 669994

GCD(706, 949) = ( 706 x 949 ) / 669994

GCD(706, 949) = 669994 / 669994

GCD(706, 949) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 697

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

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

GCD(1, 697) = 697 / 697

GCD(1, 697) = 1

GCD of 706, 949, 697 is 1

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1. What is the GCD of 706, 949, 697?

GCD of 706, 949, 697 is 1

2. Where do I get the detailed procedure to find GCD of 706, 949, 697?

You can find a detailed procedure to find GCD of 706, 949, 697 on our page.

3. How to find GCD of 706, 949, 697 on a calculator?

You can find the GCD of 706, 949, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.