GCD of 708, 266, 944, 697 Calculator

Given Input numbers are 708, 266, 944, 697

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

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 708, 266, 944, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 266, 944, 697 is 1.

Therefore, GCD of numbers 708, 266, 944, 697 is 1

Given Input Data is 708, 266, 944, 697

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

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(708, 266) = 94164

GCD(708, 266) = ( 708 x 266 ) / 94164

GCD(708, 266) = 188328 / 94164

GCD(708, 266) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 944

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

LCM(2, 944) = 944

GCD(2, 944) = ( 2 x 944 ) / 944

GCD(2, 944) = 1888 / 944

GCD(2, 944) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 697

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

LCM(2, 697) = 1394

GCD(2, 697) = ( 2 x 697 ) / 1394

GCD(2, 697) = 1394 / 1394

GCD(2, 697) = 1

GCD of 708, 266, 944, 697 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 708, 266, 944, 697?

GCD of 708, 266, 944, 697 is 1

2. Where do I get the detailed procedure to find GCD of 708, 266, 944, 697?

You can find a detailed procedure to find GCD of 708, 266, 944, 697 on our page.

3. How to find GCD of 708, 266, 944, 697 on a calculator?

You can find the GCD of 708, 266, 944, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.