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GCD of 381, 315, 428, 556 Calculator

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


Online GCD Calculator is useful to find the GCD of 381, 315, 428, 556 quickly. Get the easiest ways to solve the greatest common divisor of 381, 315, 428, 556 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 381, 315, 428, 556 with Factoring?

Given Input numbers are 381, 315, 428, 556

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

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556


GCD of numbers is the greatest common divisor

So, the GCD (381, 315, 428, 556) = 1.

Find GCD of 381, 315, 428, 556 using Prime Factorization

Given numbers are 381, 315, 428, 556

The list of prime factors of all numbers are

Prime factors of 381 are 3 x 127

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 428 are 2 x 2 x 107

Prime factors of 556 are 2 x 2 x 139

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

Steps to Calculate GCD of 381, 315, 428, 556 using LCM Formula

Given numbers are 381, 315, 428, 556

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

Apply this formula for all numbers.

Step1:

LCM(381, 315) = 40005

GCD(381, 315) = ( 381 x 315 ) / 40005

= 381 / 315

= 381


Step2:

LCM(3, 428) = 1284

GCD(3, 428) = ( 3 x 428 ) / 1284

= 3 / 428

= 3


Step3:

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

= 1 / 556

= 1


So, Greatest Common Divisor of 381, 315, 428, 556 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 381, 315, 428, 556

Given numbers are 381, 315, 428, 556
The greatest common divisor of numbers 381, 315, 428, 556 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 315, 428, 556 is 1.

FAQs on GCD of 381, 315, 428, 556 Calculator

1. What is the GCD of 381, 315, 428, 556?

GCD of given numbers 381, 315, 428, 556 is 1


2. How to calculate the greatest common divisor of 381, 315, 428, 556?

We can find the highest common divisor of 381, 315, 428, 556 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 381, 315, 428, 556 i.e 1.


3. How can I use the GCD of 381, 315, 428, 556Calculator?

Out the numbers 381, 315, 428, 556 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.