GCD of 689, 329, 113, 770 Calculator

Given Input numbers are 689, 329, 113, 770

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Greatest Common Divisior

We found the divisors of 689, 329, 113, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 329, 113, 770 is 1.

Therefore, GCD of numbers 689, 329, 113, 770 is 1

Given Input Data is 689, 329, 113, 770

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 329 is 7 x 47

Prime Factorization of 113 is 113

Prime Factorization of 770 is 2 x 5 x 7 x 11

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(689, 329) = 226681

GCD(689, 329) = ( 689 x 329 ) / 226681

GCD(689, 329) = 226681 / 226681

GCD(689, 329) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 770

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

LCM(1, 770) = 770

GCD(1, 770) = ( 1 x 770 ) / 770

GCD(1, 770) = 770 / 770

GCD(1, 770) = 1

GCD of 689, 329, 113, 770 is 1

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1. What is the GCD of 689, 329, 113, 770?

GCD of 689, 329, 113, 770 is 1

2. Where do I get the detailed procedure to find GCD of 689, 329, 113, 770?

You can find a detailed procedure to find GCD of 689, 329, 113, 770 on our page.

3. How to find GCD of 689, 329, 113, 770 on a calculator?

You can find the GCD of 689, 329, 113, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.