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GCD of 612, 795, 771, 216 Calculator

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


Online GCD Calculator is useful to find the GCD of 612, 795, 771, 216 quickly. Get the easiest ways to solve the greatest common divisor of 612, 795, 771, 216 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 612, 795, 771, 216 with Factoring?

Given Input numbers are 612, 795, 771, 216

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

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 795 :

The positive integer divisors of 795 that completely divides 795 are.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216


GCD of numbers is the greatest common divisor

So, the GCD (612, 795, 771, 216) = 3.

Find GCD of 612, 795, 771, 216 using Prime Factorization

Given numbers are 612, 795, 771, 216

The list of prime factors of all numbers are

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 795 are 3 x 5 x 53

Prime factors of 771 are 3 x 257

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 31

Therefore, GCD of 612, 795, 771, 216 is 3.

Steps to Calculate GCD of 612, 795, 771, 216 using LCM Formula

Given numbers are 612, 795, 771, 216

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

Apply this formula for all numbers.

Step1:

LCM(612, 795) = 162180

GCD(612, 795) = ( 612 x 795 ) / 162180

= 612 / 795

= 612


Step2:

LCM(3, 771) = 771

GCD(3, 771) = ( 3 x 771 ) / 771

= 3 / 771

= 3


Step3:

LCM(3, 216) = 216

GCD(3, 216) = ( 3 x 216 ) / 216

= 3 / 216

= 3


So, Greatest Common Divisor of 612, 795, 771, 216 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 612, 795, 771, 216

Given numbers are 612, 795, 771, 216
The greatest common divisor of numbers 612, 795, 771, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 795, 771, 216 is 3.

FAQs on GCD of 612, 795, 771, 216 Calculator

1. What is the GCD of 612, 795, 771, 216?

GCD of given numbers 612, 795, 771, 216 is 3


2. How to calculate the greatest common divisor of 612, 795, 771, 216?

We can find the highest common divisor of 612, 795, 771, 216 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 612, 795, 771, 216 i.e 3.


3. How can I use the GCD of 612, 795, 771, 216Calculator?

Out the numbers 612, 795, 771, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.