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GCD of 897, 144, 390, 226 Calculator

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


Online GCD Calculator is useful to find the GCD of 897, 144, 390, 226 quickly. Get the easiest ways to solve the greatest common divisor of 897, 144, 390, 226 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 897, 144, 390, 226 with Factoring?

Given Input numbers are 897, 144, 390, 226

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

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226


GCD of numbers is the greatest common divisor

So, the GCD (897, 144, 390, 226) = 1.

Find GCD of 897, 144, 390, 226 using Prime Factorization

Given numbers are 897, 144, 390, 226

The list of prime factors of all numbers are

Prime factors of 897 are 3 x 13 x 23

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 226 are 2 x 113

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

Steps to Calculate GCD of 897, 144, 390, 226 using LCM Formula

Given numbers are 897, 144, 390, 226

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

Apply this formula for all numbers.

Step1:

LCM(897, 144) = 43056

GCD(897, 144) = ( 897 x 144 ) / 43056

= 897 / 144

= 897


Step2:

LCM(3, 390) = 390

GCD(3, 390) = ( 3 x 390 ) / 390

= 3 / 390

= 3


Step3:

LCM(3, 226) = 678

GCD(3, 226) = ( 3 x 226 ) / 678

= 3 / 226

= 3


So, Greatest Common Divisor of 897, 144, 390, 226 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 897, 144, 390, 226

Given numbers are 897, 144, 390, 226
The greatest common divisor of numbers 897, 144, 390, 226 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 897, 144, 390, 226 is 1.

FAQs on GCD of 897, 144, 390, 226 Calculator

1. What is the GCD of 897, 144, 390, 226?

GCD of given numbers 897, 144, 390, 226 is 1


2. How to calculate the greatest common divisor of 897, 144, 390, 226?

We can find the highest common divisor of 897, 144, 390, 226 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 897, 144, 390, 226 i.e 1.


3. How can I use the GCD of 897, 144, 390, 226Calculator?

Out the numbers 897, 144, 390, 226 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.