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GCD of 423, 552, 651, 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 423, 552, 651, 381 quickly. Get the easiest ways to solve the greatest common divisor of 423, 552, 651, 381 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 423, 552, 651, 381 with Factoring?

Given Input numbers are 423, 552, 651, 381

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

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 651 :

The positive integer divisors of 651 that completely divides 651 are.

1, 3, 7, 21, 31, 93, 217, 651

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 (423, 552, 651, 381) = 3.

Find GCD of 423, 552, 651, 381 using Prime Factorization

Given numbers are 423, 552, 651, 381

The list of prime factors of all numbers are

Prime factors of 423 are 3 x 3 x 47

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 651 are 3 x 7 x 31

Prime factors of 381 are 3 x 127

The highest common occurrence is 31

Therefore, GCD of 423, 552, 651, 381 is 3.

Steps to Calculate GCD of 423, 552, 651, 381 using LCM Formula

Given numbers are 423, 552, 651, 381

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

Apply this formula for all numbers.

Step1:

LCM(423, 552) = 77832

GCD(423, 552) = ( 423 x 552 ) / 77832

= 423 / 552

= 423


Step2:

LCM(3, 651) = 651

GCD(3, 651) = ( 3 x 651 ) / 651

= 3 / 651

= 3


Step3:

LCM(3, 381) = 381

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

= 3 / 381

= 3


So, Greatest Common Divisor of 423, 552, 651, 381 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 423, 552, 651, 381

Given numbers are 423, 552, 651, 381
The greatest common divisor of numbers 423, 552, 651, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 423, 552, 651, 381 is 3.

FAQs on GCD of 423, 552, 651, 381 Calculator

1. What is the GCD of 423, 552, 651, 381?

GCD of given numbers 423, 552, 651, 381 is 3


2. How to calculate the greatest common divisor of 423, 552, 651, 381?

We can find the highest common divisor of 423, 552, 651, 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 423, 552, 651, 381 i.e 3.


3. How can I use the GCD of 423, 552, 651, 381Calculator?

Out the numbers 423, 552, 651, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.