GCD of 876, 141, 69, 154 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 876, 141, 69, 154 i.e. 1 largest integer that divides all the numbers equally.

GCD of 876, 141, 69, 154 is 1

GCD(876, 141, 69, 154) = 1

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

GCD of

GCD of numbers 876, 141, 69, 154 is 1

GCD(876, 141, 69, 154) = 1

GCD of 876,141,69,154 Calculator

GCDof 876,141,69,154 is 1

Given Input numbers are 876, 141, 69, 154

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

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 154

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

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

Greatest Common Divisior

We found the divisors of 876, 141, 69, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 141, 69, 154 is 1.

Therefore, GCD of numbers 876, 141, 69, 154 is 1

Finding GCD of 876, 141, 69, 154 using Prime Factorization

Given Input Data is 876, 141, 69, 154

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

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 141 is 3 x 47

Prime Factorization of 69 is 3 x 23

Prime Factorization of 154 is 2 x 7 x 11

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

Finding GCD of 876, 141, 69, 154 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(876, 141) = 41172

GCD(876, 141) = ( 876 x 141 ) / 41172

GCD(876, 141) = 123516 / 41172

GCD(876, 141) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 69

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

LCM(3, 69) = 69

GCD(3, 69) = ( 3 x 69 ) / 69

GCD(3, 69) = 207 / 69

GCD(3, 69) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 154

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

LCM(3, 154) = 462

GCD(3, 154) = ( 3 x 154 ) / 462

GCD(3, 154) = 462 / 462

GCD(3, 154) = 1

GCD of 876, 141, 69, 154 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 876, 141, 69, 154

1. What is the GCD of 876, 141, 69, 154?

GCD of 876, 141, 69, 154 is 1


2. Where do I get the detailed procedure to find GCD of 876, 141, 69, 154?

You can find a detailed procedure to find GCD of 876, 141, 69, 154 on our page.


3. How to find GCD of 876, 141, 69, 154 on a calculator?

You can find the GCD of 876, 141, 69, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.