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GCD of 822, 381, 967 Calculator

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


Online GCD Calculator is useful to find the GCD of 822, 381, 967 quickly. Get the easiest ways to solve the greatest common divisor of 822, 381, 967 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 822, 381, 967 with Factoring?

Given Input numbers are 822, 381, 967

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

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 967 :

The positive integer divisors of 967 that completely divides 967 are.

1, 967


GCD of numbers is the greatest common divisor

So, the GCD (822, 381, 967) = 1.

Find GCD of 822, 381, 967 using Prime Factorization

Given numbers are 822, 381, 967

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 381 are 3 x 127

Prime factors of 967 are 967

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

Steps to Calculate GCD of 822, 381, 967 using LCM Formula

Given numbers are 822, 381, 967

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

Apply this formula for all numbers.

Step1:

LCM(822, 381) = 104394

GCD(822, 381) = ( 822 x 381 ) / 104394

= 822 / 381

= 822


Step2:

LCM(3, 967) = 2901

GCD(3, 967) = ( 3 x 967 ) / 2901

= 3 / 967

= 3


So, Greatest Common Divisor of 822, 381, 967 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 822, 381, 967

Given numbers are 822, 381, 967
The greatest common divisor of numbers 822, 381, 967 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 381, 967 is 1.

FAQs on GCD of 822, 381, 967 Calculator

1. What is the GCD of 822, 381, 967?

GCD of given numbers 822, 381, 967 is 1


2. How to calculate the greatest common divisor of 822, 381, 967?

We can find the highest common divisor of 822, 381, 967 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 822, 381, 967 i.e 1.


3. How can I use the GCD of 822, 381, 967Calculator?

Out the numbers 822, 381, 967 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.