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GCD of 891, 201, 200, 218 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, 201, 200, 218 quickly. Get the easiest ways to solve the greatest common divisor of 891, 201, 200, 218 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 891, 201, 200, 218 with Factoring?

Given Input numbers are 891, 201, 200, 218

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 201 :

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

1, 3, 67, 201

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218


GCD of numbers is the greatest common divisor

So, the GCD (891, 201, 200, 218) = 1.

Find GCD of 891, 201, 200, 218 using Prime Factorization

Given numbers are 891, 201, 200, 218

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 201 are 3 x 67

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 218 are 2 x 109

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

Steps to Calculate GCD of 891, 201, 200, 218 using LCM Formula

Given numbers are 891, 201, 200, 218

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

Apply this formula for all numbers.

Step1:

LCM(891, 201) = 59697

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

= 891 / 201

= 891


Step2:

LCM(3, 200) = 600

GCD(3, 200) = ( 3 x 200 ) / 600

= 3 / 200

= 3


Step3:

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

= 1 / 218

= 1


So, Greatest Common Divisor of 891, 201, 200, 218 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 891, 201, 200, 218

Given numbers are 891, 201, 200, 218
The greatest common divisor of numbers 891, 201, 200, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 201, 200, 218 is 1.

FAQs on GCD of 891, 201, 200, 218 Calculator

1. What is the GCD of 891, 201, 200, 218?

GCD of given numbers 891, 201, 200, 218 is 1


2. How to calculate the greatest common divisor of 891, 201, 200, 218?

We can find the highest common divisor of 891, 201, 200, 218 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, 201, 200, 218 i.e 1.


3. How can I use the GCD of 891, 201, 200, 218Calculator?

Out the numbers 891, 201, 200, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.