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GCD of 380, 398, 250, 476 Calculator

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


Online GCD Calculator is useful to find the GCD of 380, 398, 250, 476 quickly. Get the easiest ways to solve the greatest common divisor of 380, 398, 250, 476 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 380, 398, 250, 476 with Factoring?

Given Input numbers are 380, 398, 250, 476

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 250 :

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

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

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476


GCD of numbers is the greatest common divisor

So, the GCD (380, 398, 250, 476) = 2.

Find GCD of 380, 398, 250, 476 using Prime Factorization

Given numbers are 380, 398, 250, 476

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 398 are 2 x 199

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

Prime factors of 476 are 2 x 2 x 7 x 17

The highest common occurrence is 21

Therefore, GCD of 380, 398, 250, 476 is 2.

Steps to Calculate GCD of 380, 398, 250, 476 using LCM Formula

Given numbers are 380, 398, 250, 476

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

Apply this formula for all numbers.

Step1:

LCM(380, 398) = 75620

GCD(380, 398) = ( 380 x 398 ) / 75620

= 380 / 398

= 380


Step2:

LCM(2, 250) = 250

GCD(2, 250) = ( 2 x 250 ) / 250

= 2 / 250

= 2


Step3:

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

= 2 / 476

= 2


So, Greatest Common Divisor of 380, 398, 250, 476 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 380, 398, 250, 476

Given numbers are 380, 398, 250, 476
The greatest common divisor of numbers 380, 398, 250, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 398, 250, 476 is 2.

FAQs on GCD of 380, 398, 250, 476 Calculator

1. What is the GCD of 380, 398, 250, 476?

GCD of given numbers 380, 398, 250, 476 is 2


2. How to calculate the greatest common divisor of 380, 398, 250, 476?

We can find the highest common divisor of 380, 398, 250, 476 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 380, 398, 250, 476 i.e 2.


3. How can I use the GCD of 380, 398, 250, 476Calculator?

Out the numbers 380, 398, 250, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.