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GCD of 138, 398, 155, 406 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, 398, 155, 406 quickly. Get the easiest ways to solve the greatest common divisor of 138, 398, 155, 406 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 138, 398, 155, 406 with Factoring?

Given Input numbers are 138, 398, 155, 406

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 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 155 :

The positive integer divisors of 155 that completely divides 155 are.

1, 5, 31, 155

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406


GCD of numbers is the greatest common divisor

So, the GCD (138, 398, 155, 406) = 1.

Find GCD of 138, 398, 155, 406 using Prime Factorization

Given numbers are 138, 398, 155, 406

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 398 are 2 x 199

Prime factors of 155 are 5 x 31

Prime factors of 406 are 2 x 7 x 29

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

Steps to Calculate GCD of 138, 398, 155, 406 using LCM Formula

Given numbers are 138, 398, 155, 406

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

Apply this formula for all numbers.

Step1:

LCM(138, 398) = 27462

GCD(138, 398) = ( 138 x 398 ) / 27462

= 138 / 398

= 138


Step2:

LCM(2, 155) = 310

GCD(2, 155) = ( 2 x 155 ) / 310

= 2 / 155

= 2


Step3:

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

= 1 / 406

= 1


So, Greatest Common Divisor of 138, 398, 155, 406 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 138, 398, 155, 406

Given numbers are 138, 398, 155, 406
The greatest common divisor of numbers 138, 398, 155, 406 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 398, 155, 406 is 1.

FAQs on GCD of 138, 398, 155, 406 Calculator

1. What is the GCD of 138, 398, 155, 406?

GCD of given numbers 138, 398, 155, 406 is 1


2. How to calculate the greatest common divisor of 138, 398, 155, 406?

We can find the highest common divisor of 138, 398, 155, 406 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, 398, 155, 406 i.e 1.


3. How can I use the GCD of 138, 398, 155, 406Calculator?

Out the numbers 138, 398, 155, 406 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.