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GCD of 820, 418, 78 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, 418, 78 quickly. Get the easiest ways to solve the greatest common divisor of 820, 418, 78 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 820, 418, 78 with Factoring?

Given Input numbers are 820, 418, 78

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 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 78 :

The positive integer divisors of 78 that completely divides 78 are.

1, 2, 3, 6, 13, 26, 39, 78


GCD of numbers is the greatest common divisor

So, the GCD (820, 418, 78) = 2.

Find GCD of 820, 418, 78 using Prime Factorization

Given numbers are 820, 418, 78

The list of prime factors of all numbers are

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

Prime factors of 418 are 2 x 11 x 19

Prime factors of 78 are 2 x 3 x 13

The highest common occurrence is 21

Therefore, GCD of 820, 418, 78 is 2.

Steps to Calculate GCD of 820, 418, 78 using LCM Formula

Given numbers are 820, 418, 78

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

Apply this formula for all numbers.

Step1:

LCM(820, 418) = 171380

GCD(820, 418) = ( 820 x 418 ) / 171380

= 820 / 418

= 820


Step2:

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

= 2 / 78

= 2


So, Greatest Common Divisor of 820, 418, 78 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 820, 418, 78

Given numbers are 820, 418, 78
The greatest common divisor of numbers 820, 418, 78 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 418, 78 is 2.

FAQs on GCD of 820, 418, 78 Calculator

1. What is the GCD of 820, 418, 78?

GCD of given numbers 820, 418, 78 is 2


2. How to calculate the greatest common divisor of 820, 418, 78?

We can find the highest common divisor of 820, 418, 78 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, 418, 78 i.e 2.


3. How can I use the GCD of 820, 418, 78Calculator?

Out the numbers 820, 418, 78 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.