GCD of 709, 425, 28, 820 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 709, 425, 28, 820 i.e. 1 largest integer that divides all the numbers equally.

GCD of 709, 425, 28, 820 is 1

GCD(709, 425, 28, 820) = 1

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

GCD of

GCD of numbers 709, 425, 28, 820 is 1

GCD(709, 425, 28, 820) = 1

GCD of 709,425,28,820 Calculator

GCDof 709,425,28,820 is 1

Given Input numbers are 709, 425, 28, 820

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

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 709, 425, 28, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 709, 425, 28, 820 is 1.

Therefore, GCD of numbers 709, 425, 28, 820 is 1

Finding GCD of 709, 425, 28, 820 using Prime Factorization

Given Input Data is 709, 425, 28, 820

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

Prime Factorization of 709 is 709

Prime Factorization of 425 is 5 x 5 x 17

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 820 is 2 x 2 x 5 x 41

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

Finding GCD of 709, 425, 28, 820 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(709, 425) = 301325

GCD(709, 425) = ( 709 x 425 ) / 301325

GCD(709, 425) = 301325 / 301325

GCD(709, 425) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 709, 425, 28, 820 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 709, 425, 28, 820

1. What is the GCD of 709, 425, 28, 820?

GCD of 709, 425, 28, 820 is 1


2. Where do I get the detailed procedure to find GCD of 709, 425, 28, 820?

You can find a detailed procedure to find GCD of 709, 425, 28, 820 on our page.


3. How to find GCD of 709, 425, 28, 820 on a calculator?

You can find the GCD of 709, 425, 28, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.