LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 821, 217, 736 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, 217, 736 quickly. Get the easiest ways to solve the greatest common divisor of 821, 217, 736 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 821, 217, 736 with Factoring?

Given Input numbers are 821, 217, 736

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 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736


GCD of numbers is the greatest common divisor

So, the GCD (821, 217, 736) = 1.

Find GCD of 821, 217, 736 using Prime Factorization

Given numbers are 821, 217, 736

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 217 are 7 x 31

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

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

Steps to Calculate GCD of 821, 217, 736 using LCM Formula

Given numbers are 821, 217, 736

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

Apply this formula for all numbers.

Step1:

LCM(821, 217) = 178157

GCD(821, 217) = ( 821 x 217 ) / 178157

= 821 / 217

= 821


Step2:

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

= 1 / 736

= 1


So, Greatest Common Divisor of 821, 217, 736 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 821, 217, 736

Given numbers are 821, 217, 736
The greatest common divisor of numbers 821, 217, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 217, 736 is 1.

FAQs on GCD of 821, 217, 736 Calculator

1. What is the GCD of 821, 217, 736?

GCD of given numbers 821, 217, 736 is 1


2. How to calculate the greatest common divisor of 821, 217, 736?

We can find the highest common divisor of 821, 217, 736 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, 217, 736 i.e 1.


3. How can I use the GCD of 821, 217, 736Calculator?

Out the numbers 821, 217, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.