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GCD of 225, 116, 509, 377 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, 116, 509, 377 quickly. Get the easiest ways to solve the greatest common divisor of 225, 116, 509, 377 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 225, 116, 509, 377 with Factoring?

Given Input numbers are 225, 116, 509, 377

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 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 377 :

The positive integer divisors of 377 that completely divides 377 are.

1, 13, 29, 377


GCD of numbers is the greatest common divisor

So, the GCD (225, 116, 509, 377) = 1.

Find GCD of 225, 116, 509, 377 using Prime Factorization

Given numbers are 225, 116, 509, 377

The list of prime factors of all numbers are

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

Prime factors of 116 are 2 x 2 x 29

Prime factors of 509 are 509

Prime factors of 377 are 13 x 29

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

Steps to Calculate GCD of 225, 116, 509, 377 using LCM Formula

Given numbers are 225, 116, 509, 377

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

Apply this formula for all numbers.

Step1:

LCM(225, 116) = 26100

GCD(225, 116) = ( 225 x 116 ) / 26100

= 225 / 116

= 225


Step2:

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

= 1 / 509

= 1


Step3:

LCM(1, 377) = 377

GCD(1, 377) = ( 1 x 377 ) / 377

= 1 / 377

= 1


So, Greatest Common Divisor of 225, 116, 509, 377 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 225, 116, 509, 377

Given numbers are 225, 116, 509, 377
The greatest common divisor of numbers 225, 116, 509, 377 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 116, 509, 377 is 1.

FAQs on GCD of 225, 116, 509, 377 Calculator

1. What is the GCD of 225, 116, 509, 377?

GCD of given numbers 225, 116, 509, 377 is 1


2. How to calculate the greatest common divisor of 225, 116, 509, 377?

We can find the highest common divisor of 225, 116, 509, 377 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, 116, 509, 377 i.e 1.


3. How can I use the GCD of 225, 116, 509, 377Calculator?

Out the numbers 225, 116, 509, 377 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.