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GCD of 820, 343, 395, 190 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, 343, 395, 190 quickly. Get the easiest ways to solve the greatest common divisor of 820, 343, 395, 190 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 820, 343, 395, 190 with Factoring?

Given Input numbers are 820, 343, 395, 190

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 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

Divisors of 190 :

The positive integer divisors of 190 that completely divides 190 are.

1, 2, 5, 10, 19, 38, 95, 190


GCD of numbers is the greatest common divisor

So, the GCD (820, 343, 395, 190) = 1.

Find GCD of 820, 343, 395, 190 using Prime Factorization

Given numbers are 820, 343, 395, 190

The list of prime factors of all numbers are

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

Prime factors of 343 are 7 x 7 x 7

Prime factors of 395 are 5 x 79

Prime factors of 190 are 2 x 5 x 19

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

Steps to Calculate GCD of 820, 343, 395, 190 using LCM Formula

Given numbers are 820, 343, 395, 190

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

Apply this formula for all numbers.

Step1:

LCM(820, 343) = 281260

GCD(820, 343) = ( 820 x 343 ) / 281260

= 820 / 343

= 820


Step2:

LCM(1, 395) = 395

GCD(1, 395) = ( 1 x 395 ) / 395

= 1 / 395

= 1


Step3:

LCM(1, 190) = 190

GCD(1, 190) = ( 1 x 190 ) / 190

= 1 / 190

= 1


So, Greatest Common Divisor of 820, 343, 395, 190 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 820, 343, 395, 190

Given numbers are 820, 343, 395, 190
The greatest common divisor of numbers 820, 343, 395, 190 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 343, 395, 190 is 1.

FAQs on GCD of 820, 343, 395, 190 Calculator

1. What is the GCD of 820, 343, 395, 190?

GCD of given numbers 820, 343, 395, 190 is 1


2. How to calculate the greatest common divisor of 820, 343, 395, 190?

We can find the highest common divisor of 820, 343, 395, 190 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, 343, 395, 190 i.e 1.


3. How can I use the GCD of 820, 343, 395, 190Calculator?

Out the numbers 820, 343, 395, 190 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.