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GCD of 225, 775, 764, 564 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, 775, 764, 564 quickly. Get the easiest ways to solve the greatest common divisor of 225, 775, 764, 564 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 225, 775, 764, 564 with Factoring?

Given Input numbers are 225, 775, 764, 564

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 775 :

The positive integer divisors of 775 that completely divides 775 are.

1, 5, 25, 31, 155, 775

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564


GCD of numbers is the greatest common divisor

So, the GCD (225, 775, 764, 564) = 1.

Find GCD of 225, 775, 764, 564 using Prime Factorization

Given numbers are 225, 775, 764, 564

The list of prime factors of all numbers are

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

Prime factors of 775 are 5 x 5 x 31

Prime factors of 764 are 2 x 2 x 191

Prime factors of 564 are 2 x 2 x 3 x 47

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

Steps to Calculate GCD of 225, 775, 764, 564 using LCM Formula

Given numbers are 225, 775, 764, 564

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

Apply this formula for all numbers.

Step1:

LCM(225, 775) = 6975

GCD(225, 775) = ( 225 x 775 ) / 6975

= 225 / 775

= 225


Step2:

LCM(25, 764) = 19100

GCD(25, 764) = ( 25 x 764 ) / 19100

= 25 / 764

= 25


Step3:

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

= 1 / 564

= 1


So, Greatest Common Divisor of 225, 775, 764, 564 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 225, 775, 764, 564

Given numbers are 225, 775, 764, 564
The greatest common divisor of numbers 225, 775, 764, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 775, 764, 564 is 1.

FAQs on GCD of 225, 775, 764, 564 Calculator

1. What is the GCD of 225, 775, 764, 564?

GCD of given numbers 225, 775, 764, 564 is 1


2. How to calculate the greatest common divisor of 225, 775, 764, 564?

We can find the highest common divisor of 225, 775, 764, 564 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, 775, 764, 564 i.e 1.


3. How can I use the GCD of 225, 775, 764, 564Calculator?

Out the numbers 225, 775, 764, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.