GCD of 159, 920, 74 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 159, 920, 74 i.e. 1 largest integer that divides all the numbers equally.

GCD of 159, 920, 74 is 1

GCD(159, 920, 74) = 1

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

GCD of

GCD of numbers 159, 920, 74 is 1

GCD(159, 920, 74) = 1

GCD of 159,920,74 Calculator

GCDof 159,920,74 is 1

Given Input numbers are 159, 920, 74

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

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Greatest Common Divisior

We found the divisors of 159, 920, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 920, 74 is 1.

Therefore, GCD of numbers 159, 920, 74 is 1

Finding GCD of 159, 920, 74 using Prime Factorization

Given Input Data is 159, 920, 74

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 74 is 2 x 37

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

Finding GCD of 159, 920, 74 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(159, 920) = 146280

GCD(159, 920) = ( 159 x 920 ) / 146280

GCD(159, 920) = 146280 / 146280

GCD(159, 920) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

GCD of 159, 920, 74 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 159, 920, 74

1. What is the GCD of 159, 920, 74?

GCD of 159, 920, 74 is 1


2. Where do I get the detailed procedure to find GCD of 159, 920, 74?

You can find a detailed procedure to find GCD of 159, 920, 74 on our page.


3. How to find GCD of 159, 920, 74 on a calculator?

You can find the GCD of 159, 920, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.