GCD of 154, 198, 29, 840 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 154, 198, 29, 840 i.e. 1 largest integer that divides all the numbers equally.

GCD of 154, 198, 29, 840 is 1

GCD(154, 198, 29, 840) = 1

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

GCD of

GCD of numbers 154, 198, 29, 840 is 1

GCD(154, 198, 29, 840) = 1

GCD of 154,198,29,840 Calculator

GCDof 154,198,29,840 is 1

Given Input numbers are 154, 198, 29, 840

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 154, 198, 29, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 198, 29, 840 is 1.

Therefore, GCD of numbers 154, 198, 29, 840 is 1

Finding GCD of 154, 198, 29, 840 using Prime Factorization

Given Input Data is 154, 198, 29, 840

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 29 is 29

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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

Finding GCD of 154, 198, 29, 840 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(154, 198) = 1386

GCD(154, 198) = ( 154 x 198 ) / 1386

GCD(154, 198) = 30492 / 1386

GCD(154, 198) = 22


Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 29

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

LCM(22, 29) = 638

GCD(22, 29) = ( 22 x 29 ) / 638

GCD(22, 29) = 638 / 638

GCD(22, 29) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

GCD of 154, 198, 29, 840 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 154, 198, 29, 840

1. What is the GCD of 154, 198, 29, 840?

GCD of 154, 198, 29, 840 is 1


2. Where do I get the detailed procedure to find GCD of 154, 198, 29, 840?

You can find a detailed procedure to find GCD of 154, 198, 29, 840 on our page.


3. How to find GCD of 154, 198, 29, 840 on a calculator?

You can find the GCD of 154, 198, 29, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.