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GCD of 438, 866, 689, 116 Calculator

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


Online GCD Calculator is useful to find the GCD of 438, 866, 689, 116 quickly. Get the easiest ways to solve the greatest common divisor of 438, 866, 689, 116 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 438, 866, 689, 116 with Factoring?

Given Input numbers are 438, 866, 689, 116

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 866 :

The positive integer divisors of 866 that completely divides 866 are.

1, 2, 433, 866

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116


GCD of numbers is the greatest common divisor

So, the GCD (438, 866, 689, 116) = 1.

Find GCD of 438, 866, 689, 116 using Prime Factorization

Given numbers are 438, 866, 689, 116

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 866 are 2 x 433

Prime factors of 689 are 13 x 53

Prime factors of 116 are 2 x 2 x 29

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

Steps to Calculate GCD of 438, 866, 689, 116 using LCM Formula

Given numbers are 438, 866, 689, 116

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

Apply this formula for all numbers.

Step1:

LCM(438, 866) = 189654

GCD(438, 866) = ( 438 x 866 ) / 189654

= 438 / 866

= 438


Step2:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2


Step3:

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

= 1 / 116

= 1


So, Greatest Common Divisor of 438, 866, 689, 116 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 438, 866, 689, 116

Given numbers are 438, 866, 689, 116
The greatest common divisor of numbers 438, 866, 689, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 866, 689, 116 is 1.

FAQs on GCD of 438, 866, 689, 116 Calculator

1. What is the GCD of 438, 866, 689, 116?

GCD of given numbers 438, 866, 689, 116 is 1


2. How to calculate the greatest common divisor of 438, 866, 689, 116?

We can find the highest common divisor of 438, 866, 689, 116 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 438, 866, 689, 116 i.e 1.


3. How can I use the GCD of 438, 866, 689, 116Calculator?

Out the numbers 438, 866, 689, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.