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GCD of 834, 824, 221 Calculator

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


Online GCD Calculator is useful to find the GCD of 834, 824, 221 quickly. Get the easiest ways to solve the greatest common divisor of 834, 824, 221 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 834, 824, 221 with Factoring?

Given Input numbers are 834, 824, 221

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

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221


GCD of numbers is the greatest common divisor

So, the GCD (834, 824, 221) = 1.

Find GCD of 834, 824, 221 using Prime Factorization

Given numbers are 834, 824, 221

The list of prime factors of all numbers are

Prime factors of 834 are 2 x 3 x 139

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 221 are 13 x 17

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

Steps to Calculate GCD of 834, 824, 221 using LCM Formula

Given numbers are 834, 824, 221

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

Apply this formula for all numbers.

Step1:

LCM(834, 824) = 343608

GCD(834, 824) = ( 834 x 824 ) / 343608

= 834 / 824

= 834


Step2:

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

= 2 / 221

= 2


So, Greatest Common Divisor of 834, 824, 221 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 834, 824, 221

Given numbers are 834, 824, 221
The greatest common divisor of numbers 834, 824, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 834, 824, 221 is 1.

FAQs on GCD of 834, 824, 221 Calculator

1. What is the GCD of 834, 824, 221?

GCD of given numbers 834, 824, 221 is 1


2. How to calculate the greatest common divisor of 834, 824, 221?

We can find the highest common divisor of 834, 824, 221 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 834, 824, 221 i.e 1.


3. How can I use the GCD of 834, 824, 221Calculator?

Out the numbers 834, 824, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.