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GCD of 618, 120, 518, 174 Calculator

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


Online GCD Calculator is useful to find the GCD of 618, 120, 518, 174 quickly. Get the easiest ways to solve the greatest common divisor of 618, 120, 518, 174 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 618, 120, 518, 174 with Factoring?

Given Input numbers are 618, 120, 518, 174

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

Divisors of 618 :

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

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174


GCD of numbers is the greatest common divisor

So, the GCD (618, 120, 518, 174) = 2.

Find GCD of 618, 120, 518, 174 using Prime Factorization

Given numbers are 618, 120, 518, 174

The list of prime factors of all numbers are

Prime factors of 618 are 2 x 3 x 103

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 518 are 2 x 7 x 37

Prime factors of 174 are 2 x 3 x 29

The highest common occurrence is 21

Therefore, GCD of 618, 120, 518, 174 is 2.

Steps to Calculate GCD of 618, 120, 518, 174 using LCM Formula

Given numbers are 618, 120, 518, 174

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

Apply this formula for all numbers.

Step1:

LCM(618, 120) = 12360

GCD(618, 120) = ( 618 x 120 ) / 12360

= 618 / 120

= 618


Step2:

LCM(6, 518) = 1554

GCD(6, 518) = ( 6 x 518 ) / 1554

= 6 / 518

= 6


Step3:

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

= 2 / 174

= 2


So, Greatest Common Divisor of 618, 120, 518, 174 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 618, 120, 518, 174

Given numbers are 618, 120, 518, 174
The greatest common divisor of numbers 618, 120, 518, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 618, 120, 518, 174 is 2.

FAQs on GCD of 618, 120, 518, 174 Calculator

1. What is the GCD of 618, 120, 518, 174?

GCD of given numbers 618, 120, 518, 174 is 2


2. How to calculate the greatest common divisor of 618, 120, 518, 174?

We can find the highest common divisor of 618, 120, 518, 174 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 618, 120, 518, 174 i.e 2.


3. How can I use the GCD of 618, 120, 518, 174Calculator?

Out the numbers 618, 120, 518, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.