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GCD of 440, 250, 396, 382 Calculator

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


Online GCD Calculator is useful to find the GCD of 440, 250, 396, 382 quickly. Get the easiest ways to solve the greatest common divisor of 440, 250, 396, 382 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 440, 250, 396, 382 with Factoring?

Given Input numbers are 440, 250, 396, 382

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

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 250 :

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

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

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382


GCD of numbers is the greatest common divisor

So, the GCD (440, 250, 396, 382) = 2.

Find GCD of 440, 250, 396, 382 using Prime Factorization

Given numbers are 440, 250, 396, 382

The list of prime factors of all numbers are

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

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

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 382 are 2 x 191

The highest common occurrence is 21

Therefore, GCD of 440, 250, 396, 382 is 2.

Steps to Calculate GCD of 440, 250, 396, 382 using LCM Formula

Given numbers are 440, 250, 396, 382

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

Apply this formula for all numbers.

Step1:

LCM(440, 250) = 11000

GCD(440, 250) = ( 440 x 250 ) / 11000

= 440 / 250

= 440


Step2:

LCM(10, 396) = 1980

GCD(10, 396) = ( 10 x 396 ) / 1980

= 10 / 396

= 10


Step3:

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

= 2 / 382

= 2


So, Greatest Common Divisor of 440, 250, 396, 382 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 440, 250, 396, 382

Given numbers are 440, 250, 396, 382
The greatest common divisor of numbers 440, 250, 396, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 440, 250, 396, 382 is 2.

FAQs on GCD of 440, 250, 396, 382 Calculator

1. What is the GCD of 440, 250, 396, 382?

GCD of given numbers 440, 250, 396, 382 is 2


2. How to calculate the greatest common divisor of 440, 250, 396, 382?

We can find the highest common divisor of 440, 250, 396, 382 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 440, 250, 396, 382 i.e 2.


3. How can I use the GCD of 440, 250, 396, 382Calculator?

Out the numbers 440, 250, 396, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.