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GCD of 380, 894, 321, 882 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, 894, 321, 882 quickly. Get the easiest ways to solve the greatest common divisor of 380, 894, 321, 882 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 380, 894, 321, 882 with Factoring?

Given Input numbers are 380, 894, 321, 882

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 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882


GCD of numbers is the greatest common divisor

So, the GCD (380, 894, 321, 882) = 1.

Find GCD of 380, 894, 321, 882 using Prime Factorization

Given numbers are 380, 894, 321, 882

The list of prime factors of all numbers are

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

Prime factors of 894 are 2 x 3 x 149

Prime factors of 321 are 3 x 107

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

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

Steps to Calculate GCD of 380, 894, 321, 882 using LCM Formula

Given numbers are 380, 894, 321, 882

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

Apply this formula for all numbers.

Step1:

LCM(380, 894) = 169860

GCD(380, 894) = ( 380 x 894 ) / 169860

= 380 / 894

= 380


Step2:

LCM(2, 321) = 642

GCD(2, 321) = ( 2 x 321 ) / 642

= 2 / 321

= 2


Step3:

LCM(1, 882) = 882

GCD(1, 882) = ( 1 x 882 ) / 882

= 1 / 882

= 1


So, Greatest Common Divisor of 380, 894, 321, 882 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 380, 894, 321, 882

Given numbers are 380, 894, 321, 882
The greatest common divisor of numbers 380, 894, 321, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 894, 321, 882 is 1.

FAQs on GCD of 380, 894, 321, 882 Calculator

1. What is the GCD of 380, 894, 321, 882?

GCD of given numbers 380, 894, 321, 882 is 1


2. How to calculate the greatest common divisor of 380, 894, 321, 882?

We can find the highest common divisor of 380, 894, 321, 882 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, 894, 321, 882 i.e 1.


3. How can I use the GCD of 380, 894, 321, 882Calculator?

Out the numbers 380, 894, 321, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.