GCD of 425, 705, 72, 656 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 425, 705, 72, 656 i.e. 1 largest integer that divides all the numbers equally.

GCD of 425, 705, 72, 656 is 1

GCD(425, 705, 72, 656) = 1

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

GCD of

GCD of numbers 425, 705, 72, 656 is 1

GCD(425, 705, 72, 656) = 1

GCD of 425,705,72,656 Calculator

GCDof 425,705,72,656 is 1

Given Input numbers are 425, 705, 72, 656

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

Divisors of 425

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

1, 5, 17, 25, 85, 425

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 425, 705, 72, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 425, 705, 72, 656 is 1.

Therefore, GCD of numbers 425, 705, 72, 656 is 1

Finding GCD of 425, 705, 72, 656 using Prime Factorization

Given Input Data is 425, 705, 72, 656

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

Prime Factorization of 425 is 5 x 5 x 17

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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

Finding GCD of 425, 705, 72, 656 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(425, 705) = 59925

GCD(425, 705) = ( 425 x 705 ) / 59925

GCD(425, 705) = 299625 / 59925

GCD(425, 705) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 72

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

LCM(5, 72) = 360

GCD(5, 72) = ( 5 x 72 ) / 360

GCD(5, 72) = 360 / 360

GCD(5, 72) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

GCD of 425, 705, 72, 656 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 425, 705, 72, 656

1. What is the GCD of 425, 705, 72, 656?

GCD of 425, 705, 72, 656 is 1


2. Where do I get the detailed procedure to find GCD of 425, 705, 72, 656?

You can find a detailed procedure to find GCD of 425, 705, 72, 656 on our page.


3. How to find GCD of 425, 705, 72, 656 on a calculator?

You can find the GCD of 425, 705, 72, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.