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GCD of 896, 394, 356, 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 896, 394, 356, 225 quickly. Get the easiest ways to solve the greatest common divisor of 896, 394, 356, 225 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 896, 394, 356, 225 with Factoring?

Given Input numbers are 896, 394, 356, 225

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

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

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 (896, 394, 356, 225) = 1.

Find GCD of 896, 394, 356, 225 using Prime Factorization

Given numbers are 896, 394, 356, 225

The list of prime factors of all numbers are

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 394 are 2 x 197

Prime factors of 356 are 2 x 2 x 89

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 896, 394, 356, 225 using LCM Formula

Given numbers are 896, 394, 356, 225

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

Apply this formula for all numbers.

Step1:

LCM(896, 394) = 176512

GCD(896, 394) = ( 896 x 394 ) / 176512

= 896 / 394

= 896


Step2:

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

= 2 / 356

= 2


Step3:

LCM(2, 225) = 450

GCD(2, 225) = ( 2 x 225 ) / 450

= 2 / 225

= 2


So, Greatest Common Divisor of 896, 394, 356, 225 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 896, 394, 356, 225

Given numbers are 896, 394, 356, 225
The greatest common divisor of numbers 896, 394, 356, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 896, 394, 356, 225 is 1.

FAQs on GCD of 896, 394, 356, 225 Calculator

1. What is the GCD of 896, 394, 356, 225?

GCD of given numbers 896, 394, 356, 225 is 1


2. How to calculate the greatest common divisor of 896, 394, 356, 225?

We can find the highest common divisor of 896, 394, 356, 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 896, 394, 356, 225 i.e 1.


3. How can I use the GCD of 896, 394, 356, 225Calculator?

Out the numbers 896, 394, 356, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.