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GCD of 876, 267, 444, 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 876, 267, 444, 381 quickly. Get the easiest ways to solve the greatest common divisor of 876, 267, 444, 381 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 876, 267, 444, 381 with Factoring?

Given Input numbers are 876, 267, 444, 381

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

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

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 (876, 267, 444, 381) = 3.

Find GCD of 876, 267, 444, 381 using Prime Factorization

Given numbers are 876, 267, 444, 381

The list of prime factors of all numbers are

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 267 are 3 x 89

Prime factors of 444 are 2 x 2 x 3 x 37

Prime factors of 381 are 3 x 127

The highest common occurrence is 31

Therefore, GCD of 876, 267, 444, 381 is 3.

Steps to Calculate GCD of 876, 267, 444, 381 using LCM Formula

Given numbers are 876, 267, 444, 381

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

Apply this formula for all numbers.

Step1:

LCM(876, 267) = 77964

GCD(876, 267) = ( 876 x 267 ) / 77964

= 876 / 267

= 876


Step2:

LCM(3, 444) = 444

GCD(3, 444) = ( 3 x 444 ) / 444

= 3 / 444

= 3


Step3:

LCM(3, 381) = 381

GCD(3, 381) = ( 3 x 381 ) / 381

= 3 / 381

= 3


So, Greatest Common Divisor of 876, 267, 444, 381 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 876, 267, 444, 381

Given numbers are 876, 267, 444, 381
The greatest common divisor of numbers 876, 267, 444, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 876, 267, 444, 381 is 3.

FAQs on GCD of 876, 267, 444, 381 Calculator

1. What is the GCD of 876, 267, 444, 381?

GCD of given numbers 876, 267, 444, 381 is 3


2. How to calculate the greatest common divisor of 876, 267, 444, 381?

We can find the highest common divisor of 876, 267, 444, 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 876, 267, 444, 381 i.e 3.


3. How can I use the GCD of 876, 267, 444, 381Calculator?

Out the numbers 876, 267, 444, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.