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GCD of 627, 816, 144, 801 Calculator

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


Online GCD Calculator is useful to find the GCD of 627, 816, 144, 801 quickly. Get the easiest ways to solve the greatest common divisor of 627, 816, 144, 801 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 627, 816, 144, 801 with Factoring?

Given Input numbers are 627, 816, 144, 801

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

Divisors of 627 :

The positive integer divisors of 627 that completely divides 627 are.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801


GCD of numbers is the greatest common divisor

So, the GCD (627, 816, 144, 801) = 3.

Find GCD of 627, 816, 144, 801 using Prime Factorization

Given numbers are 627, 816, 144, 801

The list of prime factors of all numbers are

Prime factors of 627 are 3 x 11 x 19

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

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

Prime factors of 801 are 3 x 3 x 89

The highest common occurrence is 31

Therefore, GCD of 627, 816, 144, 801 is 3.

Steps to Calculate GCD of 627, 816, 144, 801 using LCM Formula

Given numbers are 627, 816, 144, 801

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

Apply this formula for all numbers.

Step1:

LCM(627, 816) = 170544

GCD(627, 816) = ( 627 x 816 ) / 170544

= 627 / 816

= 627


Step2:

LCM(3, 144) = 144

GCD(3, 144) = ( 3 x 144 ) / 144

= 3 / 144

= 3


Step3:

LCM(3, 801) = 801

GCD(3, 801) = ( 3 x 801 ) / 801

= 3 / 801

= 3


So, Greatest Common Divisor of 627, 816, 144, 801 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 627, 816, 144, 801

Given numbers are 627, 816, 144, 801
The greatest common divisor of numbers 627, 816, 144, 801 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 627, 816, 144, 801 is 3.

FAQs on GCD of 627, 816, 144, 801 Calculator

1. What is the GCD of 627, 816, 144, 801?

GCD of given numbers 627, 816, 144, 801 is 3


2. How to calculate the greatest common divisor of 627, 816, 144, 801?

We can find the highest common divisor of 627, 816, 144, 801 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 627, 816, 144, 801 i.e 3.


3. How can I use the GCD of 627, 816, 144, 801Calculator?

Out the numbers 627, 816, 144, 801 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.