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GCD of 891, 135, 651, 666 Calculator

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


Online GCD Calculator is useful to find the GCD of 891, 135, 651, 666 quickly. Get the easiest ways to solve the greatest common divisor of 891, 135, 651, 666 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 891, 135, 651, 666 with Factoring?

Given Input numbers are 891, 135, 651, 666

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

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 651 :

The positive integer divisors of 651 that completely divides 651 are.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 666 :

The positive integer divisors of 666 that completely divides 666 are.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666


GCD of numbers is the greatest common divisor

So, the GCD (891, 135, 651, 666) = 3.

Find GCD of 891, 135, 651, 666 using Prime Factorization

Given numbers are 891, 135, 651, 666

The list of prime factors of all numbers are

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 651 are 3 x 7 x 31

Prime factors of 666 are 2 x 3 x 3 x 37

The highest common occurrence is 31

Therefore, GCD of 891, 135, 651, 666 is 3.

Steps to Calculate GCD of 891, 135, 651, 666 using LCM Formula

Given numbers are 891, 135, 651, 666

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

Apply this formula for all numbers.

Step1:

LCM(891, 135) = 4455

GCD(891, 135) = ( 891 x 135 ) / 4455

= 891 / 135

= 891


Step2:

LCM(27, 651) = 5859

GCD(27, 651) = ( 27 x 651 ) / 5859

= 27 / 651

= 27


Step3:

LCM(3, 666) = 666

GCD(3, 666) = ( 3 x 666 ) / 666

= 3 / 666

= 3


So, Greatest Common Divisor of 891, 135, 651, 666 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 891, 135, 651, 666

Given numbers are 891, 135, 651, 666
The greatest common divisor of numbers 891, 135, 651, 666 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 135, 651, 666 is 3.

FAQs on GCD of 891, 135, 651, 666 Calculator

1. What is the GCD of 891, 135, 651, 666?

GCD of given numbers 891, 135, 651, 666 is 3


2. How to calculate the greatest common divisor of 891, 135, 651, 666?

We can find the highest common divisor of 891, 135, 651, 666 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 891, 135, 651, 666 i.e 3.


3. How can I use the GCD of 891, 135, 651, 666Calculator?

Out the numbers 891, 135, 651, 666 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.