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, 686, 850, 398 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, 686, 850, 398 quickly. Get the easiest ways to solve the greatest common divisor of 821, 686, 850, 398 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 821, 686, 850, 398 with Factoring?

Given Input numbers are 821, 686, 850, 398

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 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398


GCD of numbers is the greatest common divisor

So, the GCD (821, 686, 850, 398) = 1.

Find GCD of 821, 686, 850, 398 using Prime Factorization

Given numbers are 821, 686, 850, 398

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 850 are 2 x 5 x 5 x 17

Prime factors of 398 are 2 x 199

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

Steps to Calculate GCD of 821, 686, 850, 398 using LCM Formula

Given numbers are 821, 686, 850, 398

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

Apply this formula for all numbers.

Step1:

LCM(821, 686) = 563206

GCD(821, 686) = ( 821 x 686 ) / 563206

= 821 / 686

= 821


Step2:

LCM(1, 850) = 850

GCD(1, 850) = ( 1 x 850 ) / 850

= 1 / 850

= 1


Step3:

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

= 1 / 398

= 1


So, Greatest Common Divisor of 821, 686, 850, 398 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 821, 686, 850, 398

Given numbers are 821, 686, 850, 398
The greatest common divisor of numbers 821, 686, 850, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 686, 850, 398 is 1.

FAQs on GCD of 821, 686, 850, 398 Calculator

1. What is the GCD of 821, 686, 850, 398?

GCD of given numbers 821, 686, 850, 398 is 1


2. How to calculate the greatest common divisor of 821, 686, 850, 398?

We can find the highest common divisor of 821, 686, 850, 398 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, 686, 850, 398 i.e 1.


3. How can I use the GCD of 821, 686, 850, 398Calculator?

Out the numbers 821, 686, 850, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.