GCD of 697, 126, 34, 686 Calculator

Given Input numbers are 697, 126, 34, 686

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

Divisors of 697

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

1, 17, 41, 697

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 697, 126, 34, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 126, 34, 686 is 1.

Therefore, GCD of numbers 697, 126, 34, 686 is 1

Given Input Data is 697, 126, 34, 686

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

Prime Factorization of 697 is 17 x 41

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 34 is 2 x 17

Prime Factorization of 686 is 2 x 7 x 7 x 7

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(697, 126) = 87822

GCD(697, 126) = ( 697 x 126 ) / 87822

GCD(697, 126) = 87822 / 87822

GCD(697, 126) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 697, 126, 34, 686 is 1

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1. What is the GCD of 697, 126, 34, 686?

GCD of 697, 126, 34, 686 is 1

2. Where do I get the detailed procedure to find GCD of 697, 126, 34, 686?

You can find a detailed procedure to find GCD of 697, 126, 34, 686 on our page.

3. How to find GCD of 697, 126, 34, 686 on a calculator?

You can find the GCD of 697, 126, 34, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.