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GCD of 821, 663, 829, 953 Calculator

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


Online GCD Calculator is useful to find the GCD of 821, 663, 829, 953 quickly. Get the easiest ways to solve the greatest common divisor of 821, 663, 829, 953 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 821, 663, 829, 953 with Factoring?

Given Input numbers are 821, 663, 829, 953

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

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 953 :

The positive integer divisors of 953 that completely divides 953 are.

1, 953


GCD of numbers is the greatest common divisor

So, the GCD (821, 663, 829, 953) = 1.

Find GCD of 821, 663, 829, 953 using Prime Factorization

Given numbers are 821, 663, 829, 953

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 663 are 3 x 13 x 17

Prime factors of 829 are 829

Prime factors of 953 are 953

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

Steps to Calculate GCD of 821, 663, 829, 953 using LCM Formula

Given numbers are 821, 663, 829, 953

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

Apply this formula for all numbers.

Step1:

LCM(821, 663) = 544323

GCD(821, 663) = ( 821 x 663 ) / 544323

= 821 / 663

= 821


Step2:

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

= 1 / 829

= 1


Step3:

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

= 1 / 953

= 1


So, Greatest Common Divisor of 821, 663, 829, 953 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 821, 663, 829, 953

Given numbers are 821, 663, 829, 953
The greatest common divisor of numbers 821, 663, 829, 953 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 663, 829, 953 is 1.

FAQs on GCD of 821, 663, 829, 953 Calculator

1. What is the GCD of 821, 663, 829, 953?

GCD of given numbers 821, 663, 829, 953 is 1


2. How to calculate the greatest common divisor of 821, 663, 829, 953?

We can find the highest common divisor of 821, 663, 829, 953 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 821, 663, 829, 953 i.e 1.


3. How can I use the GCD of 821, 663, 829, 953Calculator?

Out the numbers 821, 663, 829, 953 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.