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GCD of 225, 314, 175, 404 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, 314, 175, 404 quickly. Get the easiest ways to solve the greatest common divisor of 225, 314, 175, 404 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 225, 314, 175, 404 with Factoring?

Given Input numbers are 225, 314, 175, 404

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 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404


GCD of numbers is the greatest common divisor

So, the GCD (225, 314, 175, 404) = 1.

Find GCD of 225, 314, 175, 404 using Prime Factorization

Given numbers are 225, 314, 175, 404

The list of prime factors of all numbers are

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

Prime factors of 314 are 2 x 157

Prime factors of 175 are 5 x 5 x 7

Prime factors of 404 are 2 x 2 x 101

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

Steps to Calculate GCD of 225, 314, 175, 404 using LCM Formula

Given numbers are 225, 314, 175, 404

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

Apply this formula for all numbers.

Step1:

LCM(225, 314) = 70650

GCD(225, 314) = ( 225 x 314 ) / 70650

= 225 / 314

= 225


Step2:

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

= 1 / 175

= 1


Step3:

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

= 1 / 404

= 1


So, Greatest Common Divisor of 225, 314, 175, 404 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 225, 314, 175, 404

Given numbers are 225, 314, 175, 404
The greatest common divisor of numbers 225, 314, 175, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 314, 175, 404 is 1.

FAQs on GCD of 225, 314, 175, 404 Calculator

1. What is the GCD of 225, 314, 175, 404?

GCD of given numbers 225, 314, 175, 404 is 1


2. How to calculate the greatest common divisor of 225, 314, 175, 404?

We can find the highest common divisor of 225, 314, 175, 404 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, 314, 175, 404 i.e 1.


3. How can I use the GCD of 225, 314, 175, 404Calculator?

Out the numbers 225, 314, 175, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.