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GCD of 225, 261, 791, 268 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, 261, 791, 268 quickly. Get the easiest ways to solve the greatest common divisor of 225, 261, 791, 268 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 225, 261, 791, 268 with Factoring?

Given Input numbers are 225, 261, 791, 268

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 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268


GCD of numbers is the greatest common divisor

So, the GCD (225, 261, 791, 268) = 1.

Find GCD of 225, 261, 791, 268 using Prime Factorization

Given numbers are 225, 261, 791, 268

The list of prime factors of all numbers are

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

Prime factors of 261 are 3 x 3 x 29

Prime factors of 791 are 7 x 113

Prime factors of 268 are 2 x 2 x 67

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

Steps to Calculate GCD of 225, 261, 791, 268 using LCM Formula

Given numbers are 225, 261, 791, 268

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

Apply this formula for all numbers.

Step1:

LCM(225, 261) = 6525

GCD(225, 261) = ( 225 x 261 ) / 6525

= 225 / 261

= 225


Step2:

LCM(9, 791) = 7119

GCD(9, 791) = ( 9 x 791 ) / 7119

= 9 / 791

= 9


Step3:

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

= 1 / 268

= 1


So, Greatest Common Divisor of 225, 261, 791, 268 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 225, 261, 791, 268

Given numbers are 225, 261, 791, 268
The greatest common divisor of numbers 225, 261, 791, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 261, 791, 268 is 1.

FAQs on GCD of 225, 261, 791, 268 Calculator

1. What is the GCD of 225, 261, 791, 268?

GCD of given numbers 225, 261, 791, 268 is 1


2. How to calculate the greatest common divisor of 225, 261, 791, 268?

We can find the highest common divisor of 225, 261, 791, 268 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, 261, 791, 268 i.e 1.


3. How can I use the GCD of 225, 261, 791, 268Calculator?

Out the numbers 225, 261, 791, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.