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GCD of 386, 138, 996, 218 Calculator

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


Online GCD Calculator is useful to find the GCD of 386, 138, 996, 218 quickly. Get the easiest ways to solve the greatest common divisor of 386, 138, 996, 218 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 386, 138, 996, 218 with Factoring?

Given Input numbers are 386, 138, 996, 218

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

Divisors of 386 :

The positive integer divisors of 386 that completely divides 386 are.

1, 2, 193, 386

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218


GCD of numbers is the greatest common divisor

So, the GCD (386, 138, 996, 218) = 2.

Find GCD of 386, 138, 996, 218 using Prime Factorization

Given numbers are 386, 138, 996, 218

The list of prime factors of all numbers are

Prime factors of 386 are 2 x 193

Prime factors of 138 are 2 x 3 x 23

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 218 are 2 x 109

The highest common occurrence is 21

Therefore, GCD of 386, 138, 996, 218 is 2.

Steps to Calculate GCD of 386, 138, 996, 218 using LCM Formula

Given numbers are 386, 138, 996, 218

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

Apply this formula for all numbers.

Step1:

LCM(386, 138) = 26634

GCD(386, 138) = ( 386 x 138 ) / 26634

= 386 / 138

= 386


Step2:

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

= 2 / 996

= 2


Step3:

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

= 2 / 218

= 2


So, Greatest Common Divisor of 386, 138, 996, 218 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 386, 138, 996, 218

Given numbers are 386, 138, 996, 218
The greatest common divisor of numbers 386, 138, 996, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 386, 138, 996, 218 is 2.

FAQs on GCD of 386, 138, 996, 218 Calculator

1. What is the GCD of 386, 138, 996, 218?

GCD of given numbers 386, 138, 996, 218 is 2


2. How to calculate the greatest common divisor of 386, 138, 996, 218?

We can find the highest common divisor of 386, 138, 996, 218 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 386, 138, 996, 218 i.e 2.


3. How can I use the GCD of 386, 138, 996, 218Calculator?

Out the numbers 386, 138, 996, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.