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GCD of 138, 409, 851, 389 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, 409, 851, 389 quickly. Get the easiest ways to solve the greatest common divisor of 138, 409, 851, 389 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 138, 409, 851, 389 with Factoring?

Given Input numbers are 138, 409, 851, 389

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 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

Divisors of 851 :

The positive integer divisors of 851 that completely divides 851 are.

1, 23, 37, 851

Divisors of 389 :

The positive integer divisors of 389 that completely divides 389 are.

1, 389


GCD of numbers is the greatest common divisor

So, the GCD (138, 409, 851, 389) = 1.

Find GCD of 138, 409, 851, 389 using Prime Factorization

Given numbers are 138, 409, 851, 389

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 409 are 409

Prime factors of 851 are 23 x 37

Prime factors of 389 are 389

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

Steps to Calculate GCD of 138, 409, 851, 389 using LCM Formula

Given numbers are 138, 409, 851, 389

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

Apply this formula for all numbers.

Step1:

LCM(138, 409) = 56442

GCD(138, 409) = ( 138 x 409 ) / 56442

= 138 / 409

= 138


Step2:

LCM(1, 851) = 851

GCD(1, 851) = ( 1 x 851 ) / 851

= 1 / 851

= 1


Step3:

LCM(1, 389) = 389

GCD(1, 389) = ( 1 x 389 ) / 389

= 1 / 389

= 1


So, Greatest Common Divisor of 138, 409, 851, 389 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 138, 409, 851, 389

Given numbers are 138, 409, 851, 389
The greatest common divisor of numbers 138, 409, 851, 389 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 409, 851, 389 is 1.

FAQs on GCD of 138, 409, 851, 389 Calculator

1. What is the GCD of 138, 409, 851, 389?

GCD of given numbers 138, 409, 851, 389 is 1


2. How to calculate the greatest common divisor of 138, 409, 851, 389?

We can find the highest common divisor of 138, 409, 851, 389 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, 409, 851, 389 i.e 1.


3. How can I use the GCD of 138, 409, 851, 389Calculator?

Out the numbers 138, 409, 851, 389 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.