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GCD of 816, 361, 270, 649 Calculator

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


Online GCD Calculator is useful to find the GCD of 816, 361, 270, 649 quickly. Get the easiest ways to solve the greatest common divisor of 816, 361, 270, 649 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 816, 361, 270, 649 with Factoring?

Given Input numbers are 816, 361, 270, 649

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

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 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649


GCD of numbers is the greatest common divisor

So, the GCD (816, 361, 270, 649) = 1.

Find GCD of 816, 361, 270, 649 using Prime Factorization

Given numbers are 816, 361, 270, 649

The list of prime factors of all numbers are

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

Prime factors of 361 are 19 x 19

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 649 are 11 x 59

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

Steps to Calculate GCD of 816, 361, 270, 649 using LCM Formula

Given numbers are 816, 361, 270, 649

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

Apply this formula for all numbers.

Step1:

LCM(816, 361) = 294576

GCD(816, 361) = ( 816 x 361 ) / 294576

= 816 / 361

= 816


Step2:

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

= 1 / 270

= 1


Step3:

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

= 1 / 649

= 1


So, Greatest Common Divisor of 816, 361, 270, 649 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 816, 361, 270, 649

Given numbers are 816, 361, 270, 649
The greatest common divisor of numbers 816, 361, 270, 649 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 361, 270, 649 is 1.

FAQs on GCD of 816, 361, 270, 649 Calculator

1. What is the GCD of 816, 361, 270, 649?

GCD of given numbers 816, 361, 270, 649 is 1


2. How to calculate the greatest common divisor of 816, 361, 270, 649?

We can find the highest common divisor of 816, 361, 270, 649 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 816, 361, 270, 649 i.e 1.


3. How can I use the GCD of 816, 361, 270, 649Calculator?

Out the numbers 816, 361, 270, 649 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.