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GCD of 225, 232, 448, 362 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, 232, 448, 362 quickly. Get the easiest ways to solve the greatest common divisor of 225, 232, 448, 362 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 225, 232, 448, 362 with Factoring?

Given Input numbers are 225, 232, 448, 362

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 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362


GCD of numbers is the greatest common divisor

So, the GCD (225, 232, 448, 362) = 1.

Find GCD of 225, 232, 448, 362 using Prime Factorization

Given numbers are 225, 232, 448, 362

The list of prime factors of all numbers are

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

Prime factors of 232 are 2 x 2 x 2 x 29

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 362 are 2 x 181

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

Steps to Calculate GCD of 225, 232, 448, 362 using LCM Formula

Given numbers are 225, 232, 448, 362

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

Apply this formula for all numbers.

Step1:

LCM(225, 232) = 52200

GCD(225, 232) = ( 225 x 232 ) / 52200

= 225 / 232

= 225


Step2:

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

= 1 / 448

= 1


Step3:

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

= 1 / 362

= 1


So, Greatest Common Divisor of 225, 232, 448, 362 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 225, 232, 448, 362

Given numbers are 225, 232, 448, 362
The greatest common divisor of numbers 225, 232, 448, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 232, 448, 362 is 1.

FAQs on GCD of 225, 232, 448, 362 Calculator

1. What is the GCD of 225, 232, 448, 362?

GCD of given numbers 225, 232, 448, 362 is 1


2. How to calculate the greatest common divisor of 225, 232, 448, 362?

We can find the highest common divisor of 225, 232, 448, 362 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, 232, 448, 362 i.e 1.


3. How can I use the GCD of 225, 232, 448, 362Calculator?

Out the numbers 225, 232, 448, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.