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GCD of 174, 246, 340, 492 Calculator

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


Online GCD Calculator is useful to find the GCD of 174, 246, 340, 492 quickly. Get the easiest ways to solve the greatest common divisor of 174, 246, 340, 492 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 174, 246, 340, 492 with Factoring?

Given Input numbers are 174, 246, 340, 492

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

Divisors of 174 :

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

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

Divisors of 246 :

The positive integer divisors of 246 that completely divides 246 are.

1, 2, 3, 6, 41, 82, 123, 246

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492


GCD of numbers is the greatest common divisor

So, the GCD (174, 246, 340, 492) = 2.

Find GCD of 174, 246, 340, 492 using Prime Factorization

Given numbers are 174, 246, 340, 492

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

Prime factors of 246 are 2 x 3 x 41

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 492 are 2 x 2 x 3 x 41

The highest common occurrence is 21

Therefore, GCD of 174, 246, 340, 492 is 2.

Steps to Calculate GCD of 174, 246, 340, 492 using LCM Formula

Given numbers are 174, 246, 340, 492

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

Apply this formula for all numbers.

Step1:

LCM(174, 246) = 7134

GCD(174, 246) = ( 174 x 246 ) / 7134

= 174 / 246

= 174


Step2:

LCM(6, 340) = 1020

GCD(6, 340) = ( 6 x 340 ) / 1020

= 6 / 340

= 6


Step3:

LCM(2, 492) = 492

GCD(2, 492) = ( 2 x 492 ) / 492

= 2 / 492

= 2


So, Greatest Common Divisor of 174, 246, 340, 492 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 174, 246, 340, 492

Given numbers are 174, 246, 340, 492
The greatest common divisor of numbers 174, 246, 340, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 246, 340, 492 is 2.

FAQs on GCD of 174, 246, 340, 492 Calculator

1. What is the GCD of 174, 246, 340, 492?

GCD of given numbers 174, 246, 340, 492 is 2


2. How to calculate the greatest common divisor of 174, 246, 340, 492?

We can find the highest common divisor of 174, 246, 340, 492 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 174, 246, 340, 492 i.e 2.


3. How can I use the GCD of 174, 246, 340, 492Calculator?

Out the numbers 174, 246, 340, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.