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GCD of 144, 897, 865, 984 Calculator

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


Online GCD Calculator is useful to find the GCD of 144, 897, 865, 984 quickly. Get the easiest ways to solve the greatest common divisor of 144, 897, 865, 984 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 144, 897, 865, 984 with Factoring?

Given Input numbers are 144, 897, 865, 984

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

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

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 865 :

The positive integer divisors of 865 that completely divides 865 are.

1, 5, 173, 865

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984


GCD of numbers is the greatest common divisor

So, the GCD (144, 897, 865, 984) = 1.

Find GCD of 144, 897, 865, 984 using Prime Factorization

Given numbers are 144, 897, 865, 984

The list of prime factors of all numbers are

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

Prime factors of 897 are 3 x 13 x 23

Prime factors of 865 are 5 x 173

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

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

Steps to Calculate GCD of 144, 897, 865, 984 using LCM Formula

Given numbers are 144, 897, 865, 984

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

Apply this formula for all numbers.

Step1:

LCM(144, 897) = 43056

GCD(144, 897) = ( 144 x 897 ) / 43056

= 144 / 897

= 144


Step2:

LCM(3, 865) = 2595

GCD(3, 865) = ( 3 x 865 ) / 2595

= 3 / 865

= 3


Step3:

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

= 1 / 984

= 1


So, Greatest Common Divisor of 144, 897, 865, 984 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 144, 897, 865, 984

Given numbers are 144, 897, 865, 984
The greatest common divisor of numbers 144, 897, 865, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 897, 865, 984 is 1.

FAQs on GCD of 144, 897, 865, 984 Calculator

1. What is the GCD of 144, 897, 865, 984?

GCD of given numbers 144, 897, 865, 984 is 1


2. How to calculate the greatest common divisor of 144, 897, 865, 984?

We can find the highest common divisor of 144, 897, 865, 984 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 144, 897, 865, 984 i.e 1.


3. How can I use the GCD of 144, 897, 865, 984Calculator?

Out the numbers 144, 897, 865, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.