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GCD of 216, 771, 526, 109 Calculator

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


Online GCD Calculator is useful to find the GCD of 216, 771, 526, 109 quickly. Get the easiest ways to solve the greatest common divisor of 216, 771, 526, 109 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 216, 771, 526, 109 with Factoring?

Given Input numbers are 216, 771, 526, 109

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

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

Divisors of 771 :

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

1, 3, 257, 771

Divisors of 526 :

The positive integer divisors of 526 that completely divides 526 are.

1, 2, 263, 526

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109


GCD of numbers is the greatest common divisor

So, the GCD (216, 771, 526, 109) = 1.

Find GCD of 216, 771, 526, 109 using Prime Factorization

Given numbers are 216, 771, 526, 109

The list of prime factors of all numbers are

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

Prime factors of 771 are 3 x 257

Prime factors of 526 are 2 x 263

Prime factors of 109 are 109

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

Steps to Calculate GCD of 216, 771, 526, 109 using LCM Formula

Given numbers are 216, 771, 526, 109

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

Apply this formula for all numbers.

Step1:

LCM(216, 771) = 55512

GCD(216, 771) = ( 216 x 771 ) / 55512

= 216 / 771

= 216


Step2:

LCM(3, 526) = 1578

GCD(3, 526) = ( 3 x 526 ) / 1578

= 3 / 526

= 3


Step3:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1


So, Greatest Common Divisor of 216, 771, 526, 109 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 216, 771, 526, 109

Given numbers are 216, 771, 526, 109
The greatest common divisor of numbers 216, 771, 526, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 771, 526, 109 is 1.

FAQs on GCD of 216, 771, 526, 109 Calculator

1. What is the GCD of 216, 771, 526, 109?

GCD of given numbers 216, 771, 526, 109 is 1


2. How to calculate the greatest common divisor of 216, 771, 526, 109?

We can find the highest common divisor of 216, 771, 526, 109 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 216, 771, 526, 109 i.e 1.


3. How can I use the GCD of 216, 771, 526, 109Calculator?

Out the numbers 216, 771, 526, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.