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GCD of 320, 274, 375, 381 Calculator

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


Online GCD Calculator is useful to find the GCD of 320, 274, 375, 381 quickly. Get the easiest ways to solve the greatest common divisor of 320, 274, 375, 381 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 320, 274, 375, 381 with Factoring?

Given Input numbers are 320, 274, 375, 381

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 381 :

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

1, 3, 127, 381


GCD of numbers is the greatest common divisor

So, the GCD (320, 274, 375, 381) = 1.

Find GCD of 320, 274, 375, 381 using Prime Factorization

Given numbers are 320, 274, 375, 381

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 274 are 2 x 137

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 381 are 3 x 127

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

Steps to Calculate GCD of 320, 274, 375, 381 using LCM Formula

Given numbers are 320, 274, 375, 381

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

Apply this formula for all numbers.

Step1:

LCM(320, 274) = 43840

GCD(320, 274) = ( 320 x 274 ) / 43840

= 320 / 274

= 320


Step2:

LCM(2, 375) = 750

GCD(2, 375) = ( 2 x 375 ) / 750

= 2 / 375

= 2


Step3:

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

= 1 / 381

= 1


So, Greatest Common Divisor of 320, 274, 375, 381 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 320, 274, 375, 381

Given numbers are 320, 274, 375, 381
The greatest common divisor of numbers 320, 274, 375, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 274, 375, 381 is 1.

FAQs on GCD of 320, 274, 375, 381 Calculator

1. What is the GCD of 320, 274, 375, 381?

GCD of given numbers 320, 274, 375, 381 is 1


2. How to calculate the greatest common divisor of 320, 274, 375, 381?

We can find the highest common divisor of 320, 274, 375, 381 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 320, 274, 375, 381 i.e 1.


3. How can I use the GCD of 320, 274, 375, 381Calculator?

Out the numbers 320, 274, 375, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.