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GCD of 225, 570, 237, 798 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, 570, 237, 798 quickly. Get the easiest ways to solve the greatest common divisor of 225, 570, 237, 798 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 225, 570, 237, 798 with Factoring?

Given Input numbers are 225, 570, 237, 798

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 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 237 :

The positive integer divisors of 237 that completely divides 237 are.

1, 3, 79, 237

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798


GCD of numbers is the greatest common divisor

So, the GCD (225, 570, 237, 798) = 3.

Find GCD of 225, 570, 237, 798 using Prime Factorization

Given numbers are 225, 570, 237, 798

The list of prime factors of all numbers are

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

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 237 are 3 x 79

Prime factors of 798 are 2 x 3 x 7 x 19

The highest common occurrence is 31

Therefore, GCD of 225, 570, 237, 798 is 3.

Steps to Calculate GCD of 225, 570, 237, 798 using LCM Formula

Given numbers are 225, 570, 237, 798

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

Apply this formula for all numbers.

Step1:

LCM(225, 570) = 8550

GCD(225, 570) = ( 225 x 570 ) / 8550

= 225 / 570

= 225


Step2:

LCM(15, 237) = 1185

GCD(15, 237) = ( 15 x 237 ) / 1185

= 15 / 237

= 15


Step3:

LCM(3, 798) = 798

GCD(3, 798) = ( 3 x 798 ) / 798

= 3 / 798

= 3


So, Greatest Common Divisor of 225, 570, 237, 798 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 225, 570, 237, 798

Given numbers are 225, 570, 237, 798
The greatest common divisor of numbers 225, 570, 237, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 570, 237, 798 is 3.

FAQs on GCD of 225, 570, 237, 798 Calculator

1. What is the GCD of 225, 570, 237, 798?

GCD of given numbers 225, 570, 237, 798 is 3


2. How to calculate the greatest common divisor of 225, 570, 237, 798?

We can find the highest common divisor of 225, 570, 237, 798 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, 570, 237, 798 i.e 3.


3. How can I use the GCD of 225, 570, 237, 798Calculator?

Out the numbers 225, 570, 237, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.