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GCD of 894, 901, 359, 225 Calculator

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


Online GCD Calculator is useful to find the GCD of 894, 901, 359, 225 quickly. Get the easiest ways to solve the greatest common divisor of 894, 901, 359, 225 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 894, 901, 359, 225 with Factoring?

Given Input numbers are 894, 901, 359, 225

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

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 901 :

The positive integer divisors of 901 that completely divides 901 are.

1, 17, 53, 901

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

Divisors of 225 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (894, 901, 359, 225) = 1.

Find GCD of 894, 901, 359, 225 using Prime Factorization

Given numbers are 894, 901, 359, 225

The list of prime factors of all numbers are

Prime factors of 894 are 2 x 3 x 149

Prime factors of 901 are 17 x 53

Prime factors of 359 are 359

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

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

Steps to Calculate GCD of 894, 901, 359, 225 using LCM Formula

Given numbers are 894, 901, 359, 225

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

Apply this formula for all numbers.

Step1:

LCM(894, 901) = 805494

GCD(894, 901) = ( 894 x 901 ) / 805494

= 894 / 901

= 894


Step2:

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

= 1 / 359

= 1


Step3:

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

= 1 / 225

= 1


So, Greatest Common Divisor of 894, 901, 359, 225 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 894, 901, 359, 225

Given numbers are 894, 901, 359, 225
The greatest common divisor of numbers 894, 901, 359, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 894, 901, 359, 225 is 1.

FAQs on GCD of 894, 901, 359, 225 Calculator

1. What is the GCD of 894, 901, 359, 225?

GCD of given numbers 894, 901, 359, 225 is 1


2. How to calculate the greatest common divisor of 894, 901, 359, 225?

We can find the highest common divisor of 894, 901, 359, 225 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 894, 901, 359, 225 i.e 1.


3. How can I use the GCD of 894, 901, 359, 225Calculator?

Out the numbers 894, 901, 359, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.