GCD of 164, 738, 85, 276 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 164, 738, 85, 276 i.e. 1 largest integer that divides all the numbers equally.

GCD of 164, 738, 85, 276 is 1

GCD(164, 738, 85, 276) = 1

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

GCD of

GCD of numbers 164, 738, 85, 276 is 1

GCD(164, 738, 85, 276) = 1

GCD of 164,738,85,276 Calculator

GCDof 164,738,85,276 is 1

Given Input numbers are 164, 738, 85, 276

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Greatest Common Divisior

We found the divisors of 164, 738, 85, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 738, 85, 276 is 1.

Therefore, GCD of numbers 164, 738, 85, 276 is 1

Finding GCD of 164, 738, 85, 276 using Prime Factorization

Given Input Data is 164, 738, 85, 276

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 85 is 5 x 17

Prime Factorization of 276 is 2 x 2 x 3 x 23

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

Finding GCD of 164, 738, 85, 276 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(164, 738) = 1476

GCD(164, 738) = ( 164 x 738 ) / 1476

GCD(164, 738) = 121032 / 1476

GCD(164, 738) = 82


Step2:

Here we consider the GCD from the above i.e. 82 as first number and the next as 85

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

LCM(82, 85) = 6970

GCD(82, 85) = ( 82 x 85 ) / 6970

GCD(82, 85) = 6970 / 6970

GCD(82, 85) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 276

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

LCM(1, 276) = 276

GCD(1, 276) = ( 1 x 276 ) / 276

GCD(1, 276) = 276 / 276

GCD(1, 276) = 1

GCD of 164, 738, 85, 276 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 164, 738, 85, 276

1. What is the GCD of 164, 738, 85, 276?

GCD of 164, 738, 85, 276 is 1


2. Where do I get the detailed procedure to find GCD of 164, 738, 85, 276?

You can find a detailed procedure to find GCD of 164, 738, 85, 276 on our page.


3. How to find GCD of 164, 738, 85, 276 on a calculator?

You can find the GCD of 164, 738, 85, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.