GCD of 480, 623, 97, 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 480, 623, 97, 690 i.e. 1 largest integer that divides all the numbers equally.

GCD of 480, 623, 97, 690 is 1

GCD(480, 623, 97, 690) = 1

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

GCD of

GCD of numbers 480, 623, 97, 690 is 1

GCD(480, 623, 97, 690) = 1

GCD of 480,623,97,690 Calculator

GCDof 480,623,97,690 is 1

Given Input numbers are 480, 623, 97, 690

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

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 480, 623, 97, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 623, 97, 690 is 1.

Therefore, GCD of numbers 480, 623, 97, 690 is 1

Finding GCD of 480, 623, 97, 690 using Prime Factorization

Given Input Data is 480, 623, 97, 690

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 623 is 7 x 89

Prime Factorization of 97 is 97

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 480, 623, 97, 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(480, 623) = 299040

GCD(480, 623) = ( 480 x 623 ) / 299040

GCD(480, 623) = 299040 / 299040

GCD(480, 623) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 97

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

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

GCD(1, 97) = 97 / 97

GCD(1, 97) = 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 480, 623, 97, 690 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 480, 623, 97, 690

1. What is the GCD of 480, 623, 97, 690?

GCD of 480, 623, 97, 690 is 1


2. Where do I get the detailed procedure to find GCD of 480, 623, 97, 690?

You can find a detailed procedure to find GCD of 480, 623, 97, 690 on our page.


3. How to find GCD of 480, 623, 97, 690 on a calculator?

You can find the GCD of 480, 623, 97, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.