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GCD of 330, 250, 825, 614 Calculator

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


Online GCD Calculator is useful to find the GCD of 330, 250, 825, 614 quickly. Get the easiest ways to solve the greatest common divisor of 330, 250, 825, 614 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 330, 250, 825, 614 with Factoring?

Given Input numbers are 330, 250, 825, 614

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

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 250 :

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

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614


GCD of numbers is the greatest common divisor

So, the GCD (330, 250, 825, 614) = 1.

Find GCD of 330, 250, 825, 614 using Prime Factorization

Given numbers are 330, 250, 825, 614

The list of prime factors of all numbers are

Prime factors of 330 are 2 x 3 x 5 x 11

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

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 614 are 2 x 307

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

Steps to Calculate GCD of 330, 250, 825, 614 using LCM Formula

Given numbers are 330, 250, 825, 614

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

Apply this formula for all numbers.

Step1:

LCM(330, 250) = 8250

GCD(330, 250) = ( 330 x 250 ) / 8250

= 330 / 250

= 330


Step2:

LCM(10, 825) = 1650

GCD(10, 825) = ( 10 x 825 ) / 1650

= 10 / 825

= 10


Step3:

LCM(5, 614) = 3070

GCD(5, 614) = ( 5 x 614 ) / 3070

= 5 / 614

= 5


So, Greatest Common Divisor of 330, 250, 825, 614 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 330, 250, 825, 614

Given numbers are 330, 250, 825, 614
The greatest common divisor of numbers 330, 250, 825, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 330, 250, 825, 614 is 1.

FAQs on GCD of 330, 250, 825, 614 Calculator

1. What is the GCD of 330, 250, 825, 614?

GCD of given numbers 330, 250, 825, 614 is 1


2. How to calculate the greatest common divisor of 330, 250, 825, 614?

We can find the highest common divisor of 330, 250, 825, 614 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 330, 250, 825, 614 i.e 1.


3. How can I use the GCD of 330, 250, 825, 614Calculator?

Out the numbers 330, 250, 825, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.