GCD of 145, 656, 385, 538 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 145, 656, 385, 538 i.e. 1 largest integer that divides all the numbers equally.

GCD of 145, 656, 385, 538 is 1

GCD(145, 656, 385, 538) = 1

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

GCD of

GCD of numbers 145, 656, 385, 538 is 1

GCD(145, 656, 385, 538) = 1

GCD of 145,656,385,538 Calculator

GCDof 145,656,385,538 is 1

Given Input numbers are 145, 656, 385, 538

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

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

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 145, 656, 385, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 656, 385, 538 is 1.

Therefore, GCD of numbers 145, 656, 385, 538 is 1

Finding GCD of 145, 656, 385, 538 using Prime Factorization

Given Input Data is 145, 656, 385, 538

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

Prime Factorization of 145 is 5 x 29

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

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 538 is 2 x 269

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

Finding GCD of 145, 656, 385, 538 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(145, 656) = 95120

GCD(145, 656) = ( 145 x 656 ) / 95120

GCD(145, 656) = 95120 / 95120

GCD(145, 656) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 385

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

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

GCD(1, 385) = 385 / 385

GCD(1, 385) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 145, 656, 385, 538 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 145, 656, 385, 538

1. What is the GCD of 145, 656, 385, 538?

GCD of 145, 656, 385, 538 is 1


2. Where do I get the detailed procedure to find GCD of 145, 656, 385, 538?

You can find a detailed procedure to find GCD of 145, 656, 385, 538 on our page.


3. How to find GCD of 145, 656, 385, 538 on a calculator?

You can find the GCD of 145, 656, 385, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.