GCD of 690, 515, 68, 753 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 690, 515, 68, 753 i.e. 1 largest integer that divides all the numbers equally.

GCD of 690, 515, 68, 753 is 1

GCD(690, 515, 68, 753) = 1

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

GCD of

GCD of numbers 690, 515, 68, 753 is 1

GCD(690, 515, 68, 753) = 1

GCD of 690,515,68,753 Calculator

GCDof 690,515,68,753 is 1

Given Input numbers are 690, 515, 68, 753

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

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

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Greatest Common Divisior

We found the divisors of 690, 515, 68, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 515, 68, 753 is 1.

Therefore, GCD of numbers 690, 515, 68, 753 is 1

Finding GCD of 690, 515, 68, 753 using Prime Factorization

Given Input Data is 690, 515, 68, 753

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

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

Prime Factorization of 515 is 5 x 103

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 753 is 3 x 251

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

Finding GCD of 690, 515, 68, 753 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(690, 515) = 71070

GCD(690, 515) = ( 690 x 515 ) / 71070

GCD(690, 515) = 355350 / 71070

GCD(690, 515) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 68

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

LCM(5, 68) = 340

GCD(5, 68) = ( 5 x 68 ) / 340

GCD(5, 68) = 340 / 340

GCD(5, 68) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 753

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

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

GCD(1, 753) = 753 / 753

GCD(1, 753) = 1

GCD of 690, 515, 68, 753 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 690, 515, 68, 753

1. What is the GCD of 690, 515, 68, 753?

GCD of 690, 515, 68, 753 is 1


2. Where do I get the detailed procedure to find GCD of 690, 515, 68, 753?

You can find a detailed procedure to find GCD of 690, 515, 68, 753 on our page.


3. How to find GCD of 690, 515, 68, 753 on a calculator?

You can find the GCD of 690, 515, 68, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.