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GCD of 165, 654, 106, 816 Calculator

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


Online GCD Calculator is useful to find the GCD of 165, 654, 106, 816 quickly. Get the easiest ways to solve the greatest common divisor of 165, 654, 106, 816 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 165, 654, 106, 816 with Factoring?

Given Input numbers are 165, 654, 106, 816

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

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

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


GCD of numbers is the greatest common divisor

So, the GCD (165, 654, 106, 816) = 1.

Find GCD of 165, 654, 106, 816 using Prime Factorization

Given numbers are 165, 654, 106, 816

The list of prime factors of all numbers are

Prime factors of 165 are 3 x 5 x 11

Prime factors of 654 are 2 x 3 x 109

Prime factors of 106 are 2 x 53

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

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

Steps to Calculate GCD of 165, 654, 106, 816 using LCM Formula

Given numbers are 165, 654, 106, 816

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

Apply this formula for all numbers.

Step1:

LCM(165, 654) = 35970

GCD(165, 654) = ( 165 x 654 ) / 35970

= 165 / 654

= 165


Step2:

LCM(3, 106) = 318

GCD(3, 106) = ( 3 x 106 ) / 318

= 3 / 106

= 3


Step3:

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

= 1 / 816

= 1


So, Greatest Common Divisor of 165, 654, 106, 816 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 165, 654, 106, 816

Given numbers are 165, 654, 106, 816
The greatest common divisor of numbers 165, 654, 106, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 654, 106, 816 is 1.

FAQs on GCD of 165, 654, 106, 816 Calculator

1. What is the GCD of 165, 654, 106, 816?

GCD of given numbers 165, 654, 106, 816 is 1


2. How to calculate the greatest common divisor of 165, 654, 106, 816?

We can find the highest common divisor of 165, 654, 106, 816 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 165, 654, 106, 816 i.e 1.


3. How can I use the GCD of 165, 654, 106, 816Calculator?

Out the numbers 165, 654, 106, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.