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GCD of 36, 28, 36, 80 Calculator

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


Online GCD Calculator is useful to find the GCD of 36, 28, 36, 80 quickly. Get the easiest ways to solve the greatest common divisor of 36, 28, 36, 80 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 36, 28, 36, 80 with Factoring?

Given Input numbers are 36, 28, 36, 80

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

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 28 :

The positive integer divisors of 28 that completely divides 28 are.

1, 2, 4, 7, 14, 28

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


GCD of numbers is the greatest common divisor

So, the GCD (36, 28, 36, 80) = 4.

Find GCD of 36, 28, 36, 80 using Prime Factorization

Given numbers are 36, 28, 36, 80

The list of prime factors of all numbers are

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

Prime factors of 28 are 2 x 2 x 7

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

The highest common occurrence is 22

Therefore, GCD of 36, 28, 36, 80 is 4.

Steps to Calculate GCD of 36, 28, 36, 80 using LCM Formula

Given numbers are 36, 28, 36, 80

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

Apply this formula for all numbers.

Step1:

LCM(36, 28) = 252

GCD(36, 28) = ( 36 x 28 ) / 252

= 36 / 28

= 36


Step2:

LCM(4, 36) = 36

GCD(4, 36) = ( 4 x 36 ) / 36

= 4 / 36

= 4


Step3:

LCM(4, 80) = 80

GCD(4, 80) = ( 4 x 80 ) / 80

= 4 / 80

= 4


So, Greatest Common Divisor of 36, 28, 36, 80 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 36, 28, 36, 80

Given numbers are 36, 28, 36, 80
The greatest common divisor of numbers 36, 28, 36, 80 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 36, 28, 36, 80 is 4.

FAQs on GCD of 36, 28, 36, 80 Calculator

1. What is the GCD of 36, 28, 36, 80?

GCD of given numbers 36, 28, 36, 80 is 4


2. How to calculate the greatest common divisor of 36, 28, 36, 80?

We can find the highest common divisor of 36, 28, 36, 80 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 36, 28, 36, 80 i.e 4.


3. How can I use the GCD of 36, 28, 36, 80Calculator?

Out the numbers 36, 28, 36, 80 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.