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GCD of 138, 857, 384, 842 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, 857, 384, 842 quickly. Get the easiest ways to solve the greatest common divisor of 138, 857, 384, 842 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 138, 857, 384, 842 with Factoring?

Given Input numbers are 138, 857, 384, 842

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 857 :

The positive integer divisors of 857 that completely divides 857 are.

1, 857

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842


GCD of numbers is the greatest common divisor

So, the GCD (138, 857, 384, 842) = 1.

Find GCD of 138, 857, 384, 842 using Prime Factorization

Given numbers are 138, 857, 384, 842

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 857 are 857

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 842 are 2 x 421

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

Steps to Calculate GCD of 138, 857, 384, 842 using LCM Formula

Given numbers are 138, 857, 384, 842

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

Apply this formula for all numbers.

Step1:

LCM(138, 857) = 118266

GCD(138, 857) = ( 138 x 857 ) / 118266

= 138 / 857

= 138


Step2:

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

= 1 / 384

= 1


Step3:

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

= 1 / 842

= 1


So, Greatest Common Divisor of 138, 857, 384, 842 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 138, 857, 384, 842

Given numbers are 138, 857, 384, 842
The greatest common divisor of numbers 138, 857, 384, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 857, 384, 842 is 1.

FAQs on GCD of 138, 857, 384, 842 Calculator

1. What is the GCD of 138, 857, 384, 842?

GCD of given numbers 138, 857, 384, 842 is 1


2. How to calculate the greatest common divisor of 138, 857, 384, 842?

We can find the highest common divisor of 138, 857, 384, 842 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, 857, 384, 842 i.e 1.


3. How can I use the GCD of 138, 857, 384, 842Calculator?

Out the numbers 138, 857, 384, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.