GCD of 34, 658, 697, 365 Calculator

Given Input numbers are 34, 658, 697, 365

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

Divisors of 34

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

1, 2, 17, 34

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 697

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

1, 17, 41, 697

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 34, 658, 697, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 658, 697, 365 is 1.

Therefore, GCD of numbers 34, 658, 697, 365 is 1

Given Input Data is 34, 658, 697, 365

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 697 is 17 x 41

Prime Factorization of 365 is 5 x 73

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(34, 658) = 11186

GCD(34, 658) = ( 34 x 658 ) / 11186

GCD(34, 658) = 22372 / 11186

GCD(34, 658) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

GCD of 34, 658, 697, 365 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 29, 962, 680, 268
• GCD of 35, 597, 397, 987
• GCD of 69, 743, 908, 539
• GCD of 88, 865, 151, 956
• GCD of 44, 388, 325, 744

1. What is the GCD of 34, 658, 697, 365?

GCD of 34, 658, 697, 365 is 1

2. Where do I get the detailed procedure to find GCD of 34, 658, 697, 365?

You can find a detailed procedure to find GCD of 34, 658, 697, 365 on our page.

3. How to find GCD of 34, 658, 697, 365 on a calculator?

You can find the GCD of 34, 658, 697, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.