GCD of 989, 702, 505, 690 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 989, 702, 505, 690 i.e. 1 largest integer that divides all the numbers equally.

GCD of 989, 702, 505, 690 is 1

GCD(989, 702, 505, 690) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 989, 702, 505, 690 is 1

GCD(989, 702, 505, 690) = 1

GCD of 989,702,505,690 Calculator

GCDof 989,702,505,690 is 1

Given Input numbers are 989, 702, 505, 690

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

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 989, 702, 505, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 702, 505, 690 is 1.

Therefore, GCD of numbers 989, 702, 505, 690 is 1

Finding GCD of 989, 702, 505, 690 using Prime Factorization

Given Input Data is 989, 702, 505, 690

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 505 is 5 x 101

Prime Factorization of 690 is 2 x 3 x 5 x 23

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 989, 702, 505, 690 using LCM Formula

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(989, 702) = 694278

GCD(989, 702) = ( 989 x 702 ) / 694278

GCD(989, 702) = 694278 / 694278

GCD(989, 702) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 989, 702, 505, 690 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 989, 702, 505, 690

1. What is the GCD of 989, 702, 505, 690?

GCD of 989, 702, 505, 690 is 1


2. Where do I get the detailed procedure to find GCD of 989, 702, 505, 690?

You can find a detailed procedure to find GCD of 989, 702, 505, 690 on our page.


3. How to find GCD of 989, 702, 505, 690 on a calculator?

You can find the GCD of 989, 702, 505, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.