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GCD of 390, 516, 225, 889 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 390, 516, 225, 889 quickly. Get the easiest ways to solve the greatest common divisor of 390, 516, 225, 889 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 390, 516, 225, 889 with Factoring?

Given Input numbers are 390, 516, 225, 889

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889


GCD of numbers is the greatest common divisor

So, the GCD (390, 516, 225, 889) = 1.

Find GCD of 390, 516, 225, 889 using Prime Factorization

Given numbers are 390, 516, 225, 889

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 516 are 2 x 2 x 3 x 43

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

Prime factors of 889 are 7 x 127

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

Steps to Calculate GCD of 390, 516, 225, 889 using LCM Formula

Given numbers are 390, 516, 225, 889

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

Apply this formula for all numbers.

Step1:

LCM(390, 516) = 33540

GCD(390, 516) = ( 390 x 516 ) / 33540

= 390 / 516

= 390


Step2:

LCM(6, 225) = 450

GCD(6, 225) = ( 6 x 225 ) / 450

= 6 / 225

= 6


Step3:

LCM(3, 889) = 2667

GCD(3, 889) = ( 3 x 889 ) / 2667

= 3 / 889

= 3


So, Greatest Common Divisor of 390, 516, 225, 889 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 390, 516, 225, 889

Given numbers are 390, 516, 225, 889
The greatest common divisor of numbers 390, 516, 225, 889 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 516, 225, 889 is 1.

FAQs on GCD of 390, 516, 225, 889 Calculator

1. What is the GCD of 390, 516, 225, 889?

GCD of given numbers 390, 516, 225, 889 is 1


2. How to calculate the greatest common divisor of 390, 516, 225, 889?

We can find the highest common divisor of 390, 516, 225, 889 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 390, 516, 225, 889 i.e 1.


3. How can I use the GCD of 390, 516, 225, 889Calculator?

Out the numbers 390, 516, 225, 889 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.