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GCD of 225, 674, 54 Calculator

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


Online GCD Calculator is useful to find the GCD of 225, 674, 54 quickly. Get the easiest ways to solve the greatest common divisor of 225, 674, 54 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 225, 674, 54 with Factoring?

Given Input numbers are 225, 674, 54

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

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 674 :

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

1, 2, 337, 674

Divisors of 54 :

The positive integer divisors of 54 that completely divides 54 are.

1, 2, 3, 6, 9, 18, 27, 54


GCD of numbers is the greatest common divisor

So, the GCD (225, 674, 54) = 1.

Find GCD of 225, 674, 54 using Prime Factorization

Given numbers are 225, 674, 54

The list of prime factors of all numbers are

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 674 are 2 x 337

Prime factors of 54 are 2 x 3 x 3 x 3

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

Steps to Calculate GCD of 225, 674, 54 using LCM Formula

Given numbers are 225, 674, 54

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

Apply this formula for all numbers.

Step1:

LCM(225, 674) = 151650

GCD(225, 674) = ( 225 x 674 ) / 151650

= 225 / 674

= 225


Step2:

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

= 1 / 54

= 1


So, Greatest Common Divisor of 225, 674, 54 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 225, 674, 54

Given numbers are 225, 674, 54
The greatest common divisor of numbers 225, 674, 54 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 674, 54 is 1.

FAQs on GCD of 225, 674, 54 Calculator

1. What is the GCD of 225, 674, 54?

GCD of given numbers 225, 674, 54 is 1


2. How to calculate the greatest common divisor of 225, 674, 54?

We can find the highest common divisor of 225, 674, 54 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 225, 674, 54 i.e 1.


3. How can I use the GCD of 225, 674, 54Calculator?

Out the numbers 225, 674, 54 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.