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GCD of 16, 618, 136, 258 Calculator

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


Online GCD Calculator is useful to find the GCD of 16, 618, 136, 258 quickly. Get the easiest ways to solve the greatest common divisor of 16, 618, 136, 258 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 16, 618, 136, 258 with Factoring?

Given Input numbers are 16, 618, 136, 258

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

Divisors of 16 :

The positive integer divisors of 16 that completely divides 16 are.

1, 2, 4, 8, 16

Divisors of 618 :

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

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

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258


GCD of numbers is the greatest common divisor

So, the GCD (16, 618, 136, 258) = 2.

Find GCD of 16, 618, 136, 258 using Prime Factorization

Given numbers are 16, 618, 136, 258

The list of prime factors of all numbers are

Prime factors of 16 are 2 x 2 x 2 x 2

Prime factors of 618 are 2 x 3 x 103

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 258 are 2 x 3 x 43

The highest common occurrence is 21

Therefore, GCD of 16, 618, 136, 258 is 2.

Steps to Calculate GCD of 16, 618, 136, 258 using LCM Formula

Given numbers are 16, 618, 136, 258

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

Apply this formula for all numbers.

Step1:

LCM(16, 618) = 4944

GCD(16, 618) = ( 16 x 618 ) / 4944

= 16 / 618

= 16


Step2:

LCM(2, 136) = 136

GCD(2, 136) = ( 2 x 136 ) / 136

= 2 / 136

= 2


Step3:

LCM(2, 258) = 258

GCD(2, 258) = ( 2 x 258 ) / 258

= 2 / 258

= 2


So, Greatest Common Divisor of 16, 618, 136, 258 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 16, 618, 136, 258

Given numbers are 16, 618, 136, 258
The greatest common divisor of numbers 16, 618, 136, 258 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 16, 618, 136, 258 is 2.

FAQs on GCD of 16, 618, 136, 258 Calculator

1. What is the GCD of 16, 618, 136, 258?

GCD of given numbers 16, 618, 136, 258 is 2


2. How to calculate the greatest common divisor of 16, 618, 136, 258?

We can find the highest common divisor of 16, 618, 136, 258 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 16, 618, 136, 258 i.e 2.


3. How can I use the GCD of 16, 618, 136, 258Calculator?

Out the numbers 16, 618, 136, 258 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.