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GCD of 855, 141, 299, 144 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 855, 141, 299, 144 quickly. Get the easiest ways to solve the greatest common divisor of 855, 141, 299, 144 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 855, 141, 299, 144 with Factoring?

Given Input numbers are 855, 141, 299, 144

In the factoring method, we have to find the divisors of all numbers

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144


GCD of numbers is the greatest common divisor

So, the GCD (855, 141, 299, 144) = 1.

Find GCD of 855, 141, 299, 144 using Prime Factorization

Given numbers are 855, 141, 299, 144

The list of prime factors of all numbers are

Prime factors of 855 are 3 x 3 x 5 x 19

Prime factors of 141 are 3 x 47

Prime factors of 299 are 13 x 23

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

Steps to Calculate GCD of 855, 141, 299, 144 using LCM Formula

Given numbers are 855, 141, 299, 144

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(855, 141) = 40185

GCD(855, 141) = ( 855 x 141 ) / 40185

= 855 / 141

= 855


Step2:

LCM(3, 299) = 897

GCD(3, 299) = ( 3 x 299 ) / 897

= 3 / 299

= 3


Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1


So, Greatest Common Divisor of 855, 141, 299, 144 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 855, 141, 299, 144

Given numbers are 855, 141, 299, 144
The greatest common divisor of numbers 855, 141, 299, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 855, 141, 299, 144 is 1.

FAQs on GCD of 855, 141, 299, 144 Calculator

1. What is the GCD of 855, 141, 299, 144?

GCD of given numbers 855, 141, 299, 144 is 1


2. How to calculate the greatest common divisor of 855, 141, 299, 144?

We can find the highest common divisor of 855, 141, 299, 144 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 855, 141, 299, 144 i.e 1.


3. How can I use the GCD of 855, 141, 299, 144Calculator?

Out the numbers 855, 141, 299, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.