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GCD of 225, 921, 685, 656 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, 921, 685, 656 quickly. Get the easiest ways to solve the greatest common divisor of 225, 921, 685, 656 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 225, 921, 685, 656 with Factoring?

Given Input numbers are 225, 921, 685, 656

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 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656


GCD of numbers is the greatest common divisor

So, the GCD (225, 921, 685, 656) = 1.

Find GCD of 225, 921, 685, 656 using Prime Factorization

Given numbers are 225, 921, 685, 656

The list of prime factors of all numbers are

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

Prime factors of 921 are 3 x 307

Prime factors of 685 are 5 x 137

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

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

Steps to Calculate GCD of 225, 921, 685, 656 using LCM Formula

Given numbers are 225, 921, 685, 656

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

Apply this formula for all numbers.

Step1:

LCM(225, 921) = 69075

GCD(225, 921) = ( 225 x 921 ) / 69075

= 225 / 921

= 225


Step2:

LCM(3, 685) = 2055

GCD(3, 685) = ( 3 x 685 ) / 2055

= 3 / 685

= 3


Step3:

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

= 1 / 656

= 1


So, Greatest Common Divisor of 225, 921, 685, 656 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 225, 921, 685, 656

Given numbers are 225, 921, 685, 656
The greatest common divisor of numbers 225, 921, 685, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 921, 685, 656 is 1.

FAQs on GCD of 225, 921, 685, 656 Calculator

1. What is the GCD of 225, 921, 685, 656?

GCD of given numbers 225, 921, 685, 656 is 1


2. How to calculate the greatest common divisor of 225, 921, 685, 656?

We can find the highest common divisor of 225, 921, 685, 656 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, 921, 685, 656 i.e 1.


3. How can I use the GCD of 225, 921, 685, 656Calculator?

Out the numbers 225, 921, 685, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.