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 820, 353, 198, 513 Calculator

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


Online GCD Calculator is useful to find the GCD of 820, 353, 198, 513 quickly. Get the easiest ways to solve the greatest common divisor of 820, 353, 198, 513 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 820, 353, 198, 513 with Factoring?

Given Input numbers are 820, 353, 198, 513

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513


GCD of numbers is the greatest common divisor

So, the GCD (820, 353, 198, 513) = 1.

Find GCD of 820, 353, 198, 513 using Prime Factorization

Given numbers are 820, 353, 198, 513

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 353 are 353

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 513 are 3 x 3 x 3 x 19

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

Steps to Calculate GCD of 820, 353, 198, 513 using LCM Formula

Given numbers are 820, 353, 198, 513

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

Apply this formula for all numbers.

Step1:

LCM(820, 353) = 289460

GCD(820, 353) = ( 820 x 353 ) / 289460

= 820 / 353

= 820


Step2:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1


Step3:

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

= 1 / 513

= 1


So, Greatest Common Divisor of 820, 353, 198, 513 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 820, 353, 198, 513

Given numbers are 820, 353, 198, 513
The greatest common divisor of numbers 820, 353, 198, 513 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 353, 198, 513 is 1.

FAQs on GCD of 820, 353, 198, 513 Calculator

1. What is the GCD of 820, 353, 198, 513?

GCD of given numbers 820, 353, 198, 513 is 1


2. How to calculate the greatest common divisor of 820, 353, 198, 513?

We can find the highest common divisor of 820, 353, 198, 513 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 820, 353, 198, 513 i.e 1.


3. How can I use the GCD of 820, 353, 198, 513Calculator?

Out the numbers 820, 353, 198, 513 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.