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GCD of 674, 228, 482, 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 674, 228, 482, 174 quickly. Get the easiest ways to solve the greatest common divisor of 674, 228, 482, 174 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 674, 228, 482, 174 with Factoring?

Given Input numbers are 674, 228, 482, 174

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

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 482 :

The positive integer divisors of 482 that completely divides 482 are.

1, 2, 241, 482

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 (674, 228, 482, 174) = 2.

Find GCD of 674, 228, 482, 174 using Prime Factorization

Given numbers are 674, 228, 482, 174

The list of prime factors of all numbers are

Prime factors of 674 are 2 x 337

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 482 are 2 x 241

Prime factors of 174 are 2 x 3 x 29

The highest common occurrence is 21

Therefore, GCD of 674, 228, 482, 174 is 2.

Steps to Calculate GCD of 674, 228, 482, 174 using LCM Formula

Given numbers are 674, 228, 482, 174

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

Apply this formula for all numbers.

Step1:

LCM(674, 228) = 76836

GCD(674, 228) = ( 674 x 228 ) / 76836

= 674 / 228

= 674


Step2:

LCM(2, 482) = 482

GCD(2, 482) = ( 2 x 482 ) / 482

= 2 / 482

= 2


Step3:

LCM(2, 174) = 174

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

= 2 / 174

= 2


So, Greatest Common Divisor of 674, 228, 482, 174 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 674, 228, 482, 174

Given numbers are 674, 228, 482, 174
The greatest common divisor of numbers 674, 228, 482, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 228, 482, 174 is 2.

FAQs on GCD of 674, 228, 482, 174 Calculator

1. What is the GCD of 674, 228, 482, 174?

GCD of given numbers 674, 228, 482, 174 is 2


2. How to calculate the greatest common divisor of 674, 228, 482, 174?

We can find the highest common divisor of 674, 228, 482, 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 674, 228, 482, 174 i.e 2.


3. How can I use the GCD of 674, 228, 482, 174Calculator?

Out the numbers 674, 228, 482, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.