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GCD of 387, 723, 267, 921 Calculator

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


Online GCD Calculator is useful to find the GCD of 387, 723, 267, 921 quickly. Get the easiest ways to solve the greatest common divisor of 387, 723, 267, 921 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 387, 723, 267, 921 with Factoring?

Given Input numbers are 387, 723, 267, 921

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

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 267 :

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

1, 3, 89, 267

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921


GCD of numbers is the greatest common divisor

So, the GCD (387, 723, 267, 921) = 3.

Find GCD of 387, 723, 267, 921 using Prime Factorization

Given numbers are 387, 723, 267, 921

The list of prime factors of all numbers are

Prime factors of 387 are 3 x 3 x 43

Prime factors of 723 are 3 x 241

Prime factors of 267 are 3 x 89

Prime factors of 921 are 3 x 307

The highest common occurrence is 31

Therefore, GCD of 387, 723, 267, 921 is 3.

Steps to Calculate GCD of 387, 723, 267, 921 using LCM Formula

Given numbers are 387, 723, 267, 921

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

Apply this formula for all numbers.

Step1:

LCM(387, 723) = 93267

GCD(387, 723) = ( 387 x 723 ) / 93267

= 387 / 723

= 387


Step2:

LCM(3, 267) = 267

GCD(3, 267) = ( 3 x 267 ) / 267

= 3 / 267

= 3


Step3:

LCM(3, 921) = 921

GCD(3, 921) = ( 3 x 921 ) / 921

= 3 / 921

= 3


So, Greatest Common Divisor of 387, 723, 267, 921 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 387, 723, 267, 921

Given numbers are 387, 723, 267, 921
The greatest common divisor of numbers 387, 723, 267, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 387, 723, 267, 921 is 3.

FAQs on GCD of 387, 723, 267, 921 Calculator

1. What is the GCD of 387, 723, 267, 921?

GCD of given numbers 387, 723, 267, 921 is 3


2. How to calculate the greatest common divisor of 387, 723, 267, 921?

We can find the highest common divisor of 387, 723, 267, 921 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 387, 723, 267, 921 i.e 3.


3. How can I use the GCD of 387, 723, 267, 921Calculator?

Out the numbers 387, 723, 267, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.