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GCD of 821, 197, 916, 842 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, 197, 916, 842 quickly. Get the easiest ways to solve the greatest common divisor of 821, 197, 916, 842 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 821, 197, 916, 842 with Factoring?

Given Input numbers are 821, 197, 916, 842

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 197 :

The positive integer divisors of 197 that completely divides 197 are.

1, 197

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842


GCD of numbers is the greatest common divisor

So, the GCD (821, 197, 916, 842) = 1.

Find GCD of 821, 197, 916, 842 using Prime Factorization

Given numbers are 821, 197, 916, 842

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 197 are 197

Prime factors of 916 are 2 x 2 x 229

Prime factors of 842 are 2 x 421

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

Steps to Calculate GCD of 821, 197, 916, 842 using LCM Formula

Given numbers are 821, 197, 916, 842

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

Apply this formula for all numbers.

Step1:

LCM(821, 197) = 161737

GCD(821, 197) = ( 821 x 197 ) / 161737

= 821 / 197

= 821


Step2:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1


Step3:

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

= 1 / 842

= 1


So, Greatest Common Divisor of 821, 197, 916, 842 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 821, 197, 916, 842

Given numbers are 821, 197, 916, 842
The greatest common divisor of numbers 821, 197, 916, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 197, 916, 842 is 1.

FAQs on GCD of 821, 197, 916, 842 Calculator

1. What is the GCD of 821, 197, 916, 842?

GCD of given numbers 821, 197, 916, 842 is 1


2. How to calculate the greatest common divisor of 821, 197, 916, 842?

We can find the highest common divisor of 821, 197, 916, 842 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, 197, 916, 842 i.e 1.


3. How can I use the GCD of 821, 197, 916, 842Calculator?

Out the numbers 821, 197, 916, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.