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GCD of 138, 846, 618, 128 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, 846, 618, 128 quickly. Get the easiest ways to solve the greatest common divisor of 138, 846, 618, 128 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 138, 846, 618, 128 with Factoring?

Given Input numbers are 138, 846, 618, 128

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 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128


GCD of numbers is the greatest common divisor

So, the GCD (138, 846, 618, 128) = 2.

Find GCD of 138, 846, 618, 128 using Prime Factorization

Given numbers are 138, 846, 618, 128

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 846 are 2 x 3 x 3 x 47

Prime factors of 618 are 2 x 3 x 103

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

The highest common occurrence is 21

Therefore, GCD of 138, 846, 618, 128 is 2.

Steps to Calculate GCD of 138, 846, 618, 128 using LCM Formula

Given numbers are 138, 846, 618, 128

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

Apply this formula for all numbers.

Step1:

LCM(138, 846) = 19458

GCD(138, 846) = ( 138 x 846 ) / 19458

= 138 / 846

= 138


Step2:

LCM(6, 618) = 618

GCD(6, 618) = ( 6 x 618 ) / 618

= 6 / 618

= 6


Step3:

LCM(6, 128) = 384

GCD(6, 128) = ( 6 x 128 ) / 384

= 6 / 128

= 6


So, Greatest Common Divisor of 138, 846, 618, 128 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 138, 846, 618, 128

Given numbers are 138, 846, 618, 128
The greatest common divisor of numbers 138, 846, 618, 128 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 846, 618, 128 is 2.

FAQs on GCD of 138, 846, 618, 128 Calculator

1. What is the GCD of 138, 846, 618, 128?

GCD of given numbers 138, 846, 618, 128 is 2


2. How to calculate the greatest common divisor of 138, 846, 618, 128?

We can find the highest common divisor of 138, 846, 618, 128 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, 846, 618, 128 i.e 2.


3. How can I use the GCD of 138, 846, 618, 128Calculator?

Out the numbers 138, 846, 618, 128 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.