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GCD of 174, 272, 474, 477 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, 272, 474, 477 quickly. Get the easiest ways to solve the greatest common divisor of 174, 272, 474, 477 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 174, 272, 474, 477 with Factoring?

Given Input numbers are 174, 272, 474, 477

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 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477


GCD of numbers is the greatest common divisor

So, the GCD (174, 272, 474, 477) = 1.

Find GCD of 174, 272, 474, 477 using Prime Factorization

Given numbers are 174, 272, 474, 477

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 474 are 2 x 3 x 79

Prime factors of 477 are 3 x 3 x 53

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 174, 272, 474, 477 using LCM Formula

Given numbers are 174, 272, 474, 477

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

Apply this formula for all numbers.

Step1:

LCM(174, 272) = 23664

GCD(174, 272) = ( 174 x 272 ) / 23664

= 174 / 272

= 174


Step2:

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

= 2 / 474

= 2


Step3:

LCM(2, 477) = 954

GCD(2, 477) = ( 2 x 477 ) / 954

= 2 / 477

= 2


So, Greatest Common Divisor of 174, 272, 474, 477 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 174, 272, 474, 477

Given numbers are 174, 272, 474, 477
The greatest common divisor of numbers 174, 272, 474, 477 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 272, 474, 477 is 1.

FAQs on GCD of 174, 272, 474, 477 Calculator

1. What is the GCD of 174, 272, 474, 477?

GCD of given numbers 174, 272, 474, 477 is 1


2. How to calculate the greatest common divisor of 174, 272, 474, 477?

We can find the highest common divisor of 174, 272, 474, 477 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, 272, 474, 477 i.e 1.


3. How can I use the GCD of 174, 272, 474, 477Calculator?

Out the numbers 174, 272, 474, 477 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.