LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 201, 891, 186, 828 Calculator

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


Online GCD Calculator is useful to find the GCD of 201, 891, 186, 828 quickly. Get the easiest ways to solve the greatest common divisor of 201, 891, 186, 828 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 201, 891, 186, 828 with Factoring?

Given Input numbers are 201, 891, 186, 828

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

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

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 186 :

The positive integer divisors of 186 that completely divides 186 are.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828


GCD of numbers is the greatest common divisor

So, the GCD (201, 891, 186, 828) = 3.

Find GCD of 201, 891, 186, 828 using Prime Factorization

Given numbers are 201, 891, 186, 828

The list of prime factors of all numbers are

Prime factors of 201 are 3 x 67

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

Prime factors of 186 are 2 x 3 x 31

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 31

Therefore, GCD of 201, 891, 186, 828 is 3.

Steps to Calculate GCD of 201, 891, 186, 828 using LCM Formula

Given numbers are 201, 891, 186, 828

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

Apply this formula for all numbers.

Step1:

LCM(201, 891) = 59697

GCD(201, 891) = ( 201 x 891 ) / 59697

= 201 / 891

= 201


Step2:

LCM(3, 186) = 186

GCD(3, 186) = ( 3 x 186 ) / 186

= 3 / 186

= 3


Step3:

LCM(3, 828) = 828

GCD(3, 828) = ( 3 x 828 ) / 828

= 3 / 828

= 3


So, Greatest Common Divisor of 201, 891, 186, 828 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 201, 891, 186, 828

Given numbers are 201, 891, 186, 828
The greatest common divisor of numbers 201, 891, 186, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 201, 891, 186, 828 is 3.

FAQs on GCD of 201, 891, 186, 828 Calculator

1. What is the GCD of 201, 891, 186, 828?

GCD of given numbers 201, 891, 186, 828 is 3


2. How to calculate the greatest common divisor of 201, 891, 186, 828?

We can find the highest common divisor of 201, 891, 186, 828 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 201, 891, 186, 828 i.e 3.


3. How can I use the GCD of 201, 891, 186, 828Calculator?

Out the numbers 201, 891, 186, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.