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GCD of 815, 390, 780, 378 Calculator

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


Online GCD Calculator is useful to find the GCD of 815, 390, 780, 378 quickly. Get the easiest ways to solve the greatest common divisor of 815, 390, 780, 378 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 815, 390, 780, 378 with Factoring?

Given Input numbers are 815, 390, 780, 378

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

Divisors of 815 :

The positive integer divisors of 815 that completely divides 815 are.

1, 5, 163, 815

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378


GCD of numbers is the greatest common divisor

So, the GCD (815, 390, 780, 378) = 1.

Find GCD of 815, 390, 780, 378 using Prime Factorization

Given numbers are 815, 390, 780, 378

The list of prime factors of all numbers are

Prime factors of 815 are 5 x 163

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

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

Steps to Calculate GCD of 815, 390, 780, 378 using LCM Formula

Given numbers are 815, 390, 780, 378

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

Apply this formula for all numbers.

Step1:

LCM(815, 390) = 63570

GCD(815, 390) = ( 815 x 390 ) / 63570

= 815 / 390

= 815


Step2:

LCM(5, 780) = 780

GCD(5, 780) = ( 5 x 780 ) / 780

= 5 / 780

= 5


Step3:

LCM(5, 378) = 1890

GCD(5, 378) = ( 5 x 378 ) / 1890

= 5 / 378

= 5


So, Greatest Common Divisor of 815, 390, 780, 378 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 815, 390, 780, 378

Given numbers are 815, 390, 780, 378
The greatest common divisor of numbers 815, 390, 780, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 815, 390, 780, 378 is 1.

FAQs on GCD of 815, 390, 780, 378 Calculator

1. What is the GCD of 815, 390, 780, 378?

GCD of given numbers 815, 390, 780, 378 is 1


2. How to calculate the greatest common divisor of 815, 390, 780, 378?

We can find the highest common divisor of 815, 390, 780, 378 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 815, 390, 780, 378 i.e 1.


3. How can I use the GCD of 815, 390, 780, 378Calculator?

Out the numbers 815, 390, 780, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.