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GCD of 250, 189, 16 Calculator

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


Online GCD Calculator is useful to find the GCD of 250, 189, 16 quickly. Get the easiest ways to solve the greatest common divisor of 250, 189, 16 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 250, 189, 16 with Factoring?

Given Input numbers are 250, 189, 16

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

Divisors of 250 :

The positive integer divisors of 250 that completely divides 250 are.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 16 :

The positive integer divisors of 16 that completely divides 16 are.

1, 2, 4, 8, 16


GCD of numbers is the greatest common divisor

So, the GCD (250, 189, 16) = 1.

Find GCD of 250, 189, 16 using Prime Factorization

Given numbers are 250, 189, 16

The list of prime factors of all numbers are

Prime factors of 250 are 2 x 5 x 5 x 5

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 16 are 2 x 2 x 2 x 2

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

Steps to Calculate GCD of 250, 189, 16 using LCM Formula

Given numbers are 250, 189, 16

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

Apply this formula for all numbers.

Step1:

LCM(250, 189) = 47250

GCD(250, 189) = ( 250 x 189 ) / 47250

= 250 / 189

= 250


Step2:

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

= 1 / 16

= 1


So, Greatest Common Divisor of 250, 189, 16 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 250, 189, 16

Given numbers are 250, 189, 16
The greatest common divisor of numbers 250, 189, 16 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 250, 189, 16 is 1.

FAQs on GCD of 250, 189, 16 Calculator

1. What is the GCD of 250, 189, 16?

GCD of given numbers 250, 189, 16 is 1


2. How to calculate the greatest common divisor of 250, 189, 16?

We can find the highest common divisor of 250, 189, 16 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 250, 189, 16 i.e 1.


3. How can I use the GCD of 250, 189, 16Calculator?

Out the numbers 250, 189, 16 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.