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GCD of 39, 36, 80, 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 39, 36, 80, 78 quickly. Get the easiest ways to solve the greatest common divisor of 39, 36, 80, 78 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 39, 36, 80, 78 with Factoring?

Given Input numbers are 39, 36, 80, 78

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

Divisors of 39 :

The positive integer divisors of 39 that completely divides 39 are.

1, 3, 13, 39

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 80 :

The positive integer divisors of 80 that completely divides 80 are.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

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 (39, 36, 80, 78) = 1.

Find GCD of 39, 36, 80, 78 using Prime Factorization

Given numbers are 39, 36, 80, 78

The list of prime factors of all numbers are

Prime factors of 39 are 3 x 13

Prime factors of 36 are 2 x 2 x 3 x 3

Prime factors of 80 are 2 x 2 x 2 x 2 x 5

Prime factors of 78 are 2 x 3 x 13

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

Steps to Calculate GCD of 39, 36, 80, 78 using LCM Formula

Given numbers are 39, 36, 80, 78

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

Apply this formula for all numbers.

Step1:

LCM(39, 36) = 468

GCD(39, 36) = ( 39 x 36 ) / 468

= 39 / 36

= 39


Step2:

LCM(3, 80) = 240

GCD(3, 80) = ( 3 x 80 ) / 240

= 3 / 80

= 3


Step3:

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

= 1 / 78

= 1


So, Greatest Common Divisor of 39, 36, 80, 78 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 39, 36, 80, 78

Given numbers are 39, 36, 80, 78
The greatest common divisor of numbers 39, 36, 80, 78 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 39, 36, 80, 78 is 1.

FAQs on GCD of 39, 36, 80, 78 Calculator

1. What is the GCD of 39, 36, 80, 78?

GCD of given numbers 39, 36, 80, 78 is 1


2. How to calculate the greatest common divisor of 39, 36, 80, 78?

We can find the highest common divisor of 39, 36, 80, 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 39, 36, 80, 78 i.e 1.


3. How can I use the GCD of 39, 36, 80, 78Calculator?

Out the numbers 39, 36, 80, 78 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.