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GCD of 891, 355, 211, 508 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, 355, 211, 508 quickly. Get the easiest ways to solve the greatest common divisor of 891, 355, 211, 508 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 891, 355, 211, 508 with Factoring?

Given Input numbers are 891, 355, 211, 508

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 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 211 :

The positive integer divisors of 211 that completely divides 211 are.

1, 211

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508


GCD of numbers is the greatest common divisor

So, the GCD (891, 355, 211, 508) = 1.

Find GCD of 891, 355, 211, 508 using Prime Factorization

Given numbers are 891, 355, 211, 508

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 355 are 5 x 71

Prime factors of 211 are 211

Prime factors of 508 are 2 x 2 x 127

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

Steps to Calculate GCD of 891, 355, 211, 508 using LCM Formula

Given numbers are 891, 355, 211, 508

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

Apply this formula for all numbers.

Step1:

LCM(891, 355) = 316305

GCD(891, 355) = ( 891 x 355 ) / 316305

= 891 / 355

= 891


Step2:

LCM(1, 211) = 211

GCD(1, 211) = ( 1 x 211 ) / 211

= 1 / 211

= 1


Step3:

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

= 1 / 508

= 1


So, Greatest Common Divisor of 891, 355, 211, 508 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 891, 355, 211, 508

Given numbers are 891, 355, 211, 508
The greatest common divisor of numbers 891, 355, 211, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 355, 211, 508 is 1.

FAQs on GCD of 891, 355, 211, 508 Calculator

1. What is the GCD of 891, 355, 211, 508?

GCD of given numbers 891, 355, 211, 508 is 1


2. How to calculate the greatest common divisor of 891, 355, 211, 508?

We can find the highest common divisor of 891, 355, 211, 508 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, 355, 211, 508 i.e 1.


3. How can I use the GCD of 891, 355, 211, 508Calculator?

Out the numbers 891, 355, 211, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.