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GCD of 891, 432, 660, 732 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, 432, 660, 732 quickly. Get the easiest ways to solve the greatest common divisor of 891, 432, 660, 732 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 891, 432, 660, 732 with Factoring?

Given Input numbers are 891, 432, 660, 732

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 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732


GCD of numbers is the greatest common divisor

So, the GCD (891, 432, 660, 732) = 3.

Find GCD of 891, 432, 660, 732 using Prime Factorization

Given numbers are 891, 432, 660, 732

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 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 732 are 2 x 2 x 3 x 61

The highest common occurrence is 31

Therefore, GCD of 891, 432, 660, 732 is 3.

Steps to Calculate GCD of 891, 432, 660, 732 using LCM Formula

Given numbers are 891, 432, 660, 732

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

Apply this formula for all numbers.

Step1:

LCM(891, 432) = 14256

GCD(891, 432) = ( 891 x 432 ) / 14256

= 891 / 432

= 891


Step2:

LCM(27, 660) = 5940

GCD(27, 660) = ( 27 x 660 ) / 5940

= 27 / 660

= 27


Step3:

LCM(3, 732) = 732

GCD(3, 732) = ( 3 x 732 ) / 732

= 3 / 732

= 3


So, Greatest Common Divisor of 891, 432, 660, 732 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 891, 432, 660, 732

Given numbers are 891, 432, 660, 732
The greatest common divisor of numbers 891, 432, 660, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 432, 660, 732 is 3.

FAQs on GCD of 891, 432, 660, 732 Calculator

1. What is the GCD of 891, 432, 660, 732?

GCD of given numbers 891, 432, 660, 732 is 3


2. How to calculate the greatest common divisor of 891, 432, 660, 732?

We can find the highest common divisor of 891, 432, 660, 732 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, 432, 660, 732 i.e 3.


3. How can I use the GCD of 891, 432, 660, 732Calculator?

Out the numbers 891, 432, 660, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.