GCD of 689, 805, 98, 961 Calculator

Given Input numbers are 689, 805, 98, 961

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 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 689, 805, 98, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 805, 98, 961 is 1.

Therefore, GCD of numbers 689, 805, 98, 961 is 1

Given Input Data is 689, 805, 98, 961

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 961 is 31 x 31

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, 805) = 554645

GCD(689, 805) = ( 689 x 805 ) / 554645

GCD(689, 805) = 554645 / 554645

GCD(689, 805) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

GCD of 689, 805, 98, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 697, 146, 91, 462
• GCD of 558, 761, 43, 262
• GCD of 410, 380, 81, 845
• GCD of 273, 114, 61, 872
• GCD of 685, 179, 46, 459

1. What is the GCD of 689, 805, 98, 961?

GCD of 689, 805, 98, 961 is 1

2. Where do I get the detailed procedure to find GCD of 689, 805, 98, 961?

You can find a detailed procedure to find GCD of 689, 805, 98, 961 on our page.

3. How to find GCD of 689, 805, 98, 961 on a calculator?

You can find the GCD of 689, 805, 98, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.