LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 138, 586, 736 Calculator

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


Online GCD Calculator is useful to find the GCD of 138, 586, 736 quickly. Get the easiest ways to solve the greatest common divisor of 138, 586, 736 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 138, 586, 736 with Factoring?

Given Input numbers are 138, 586, 736

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

Divisors of 138 :

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

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

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736


GCD of numbers is the greatest common divisor

So, the GCD (138, 586, 736) = 2.

Find GCD of 138, 586, 736 using Prime Factorization

Given numbers are 138, 586, 736

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 586 are 2 x 293

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

The highest common occurrence is 21

Therefore, GCD of 138, 586, 736 is 2.

Steps to Calculate GCD of 138, 586, 736 using LCM Formula

Given numbers are 138, 586, 736

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

Apply this formula for all numbers.

Step1:

LCM(138, 586) = 40434

GCD(138, 586) = ( 138 x 586 ) / 40434

= 138 / 586

= 138


Step2:

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

= 2 / 736

= 2


So, Greatest Common Divisor of 138, 586, 736 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 138, 586, 736

Given numbers are 138, 586, 736
The greatest common divisor of numbers 138, 586, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 586, 736 is 2.

FAQs on GCD of 138, 586, 736 Calculator

1. What is the GCD of 138, 586, 736?

GCD of given numbers 138, 586, 736 is 2


2. How to calculate the greatest common divisor of 138, 586, 736?

We can find the highest common divisor of 138, 586, 736 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 138, 586, 736 i.e 2.


3. How can I use the GCD of 138, 586, 736Calculator?

Out the numbers 138, 586, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.