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GCD of 144, 808, 200, 995 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, 808, 200, 995 quickly. Get the easiest ways to solve the greatest common divisor of 144, 808, 200, 995 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 144, 808, 200, 995 with Factoring?

Given Input numbers are 144, 808, 200, 995

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 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 995 :

The positive integer divisors of 995 that completely divides 995 are.

1, 5, 199, 995


GCD of numbers is the greatest common divisor

So, the GCD (144, 808, 200, 995) = 1.

Find GCD of 144, 808, 200, 995 using Prime Factorization

Given numbers are 144, 808, 200, 995

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 808 are 2 x 2 x 2 x 101

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 995 are 5 x 199

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

Steps to Calculate GCD of 144, 808, 200, 995 using LCM Formula

Given numbers are 144, 808, 200, 995

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

Apply this formula for all numbers.

Step1:

LCM(144, 808) = 14544

GCD(144, 808) = ( 144 x 808 ) / 14544

= 144 / 808

= 144


Step2:

LCM(8, 200) = 200

GCD(8, 200) = ( 8 x 200 ) / 200

= 8 / 200

= 8


Step3:

LCM(8, 995) = 7960

GCD(8, 995) = ( 8 x 995 ) / 7960

= 8 / 995

= 8


So, Greatest Common Divisor of 144, 808, 200, 995 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 144, 808, 200, 995

Given numbers are 144, 808, 200, 995
The greatest common divisor of numbers 144, 808, 200, 995 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 808, 200, 995 is 1.

FAQs on GCD of 144, 808, 200, 995 Calculator

1. What is the GCD of 144, 808, 200, 995?

GCD of given numbers 144, 808, 200, 995 is 1


2. How to calculate the greatest common divisor of 144, 808, 200, 995?

We can find the highest common divisor of 144, 808, 200, 995 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, 808, 200, 995 i.e 1.


3. How can I use the GCD of 144, 808, 200, 995Calculator?

Out the numbers 144, 808, 200, 995 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.