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GCD of 627, 510, 705, 438 Calculator

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


Online GCD Calculator is useful to find the GCD of 627, 510, 705, 438 quickly. Get the easiest ways to solve the greatest common divisor of 627, 510, 705, 438 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 627, 510, 705, 438 with Factoring?

Given Input numbers are 627, 510, 705, 438

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

Divisors of 627 :

The positive integer divisors of 627 that completely divides 627 are.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438


GCD of numbers is the greatest common divisor

So, the GCD (627, 510, 705, 438) = 3.

Find GCD of 627, 510, 705, 438 using Prime Factorization

Given numbers are 627, 510, 705, 438

The list of prime factors of all numbers are

Prime factors of 627 are 3 x 11 x 19

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 705 are 3 x 5 x 47

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 31

Therefore, GCD of 627, 510, 705, 438 is 3.

Steps to Calculate GCD of 627, 510, 705, 438 using LCM Formula

Given numbers are 627, 510, 705, 438

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

Apply this formula for all numbers.

Step1:

LCM(627, 510) = 106590

GCD(627, 510) = ( 627 x 510 ) / 106590

= 627 / 510

= 627


Step2:

LCM(3, 705) = 705

GCD(3, 705) = ( 3 x 705 ) / 705

= 3 / 705

= 3


Step3:

LCM(3, 438) = 438

GCD(3, 438) = ( 3 x 438 ) / 438

= 3 / 438

= 3


So, Greatest Common Divisor of 627, 510, 705, 438 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 627, 510, 705, 438

Given numbers are 627, 510, 705, 438
The greatest common divisor of numbers 627, 510, 705, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 627, 510, 705, 438 is 3.

FAQs on GCD of 627, 510, 705, 438 Calculator

1. What is the GCD of 627, 510, 705, 438?

GCD of given numbers 627, 510, 705, 438 is 3


2. How to calculate the greatest common divisor of 627, 510, 705, 438?

We can find the highest common divisor of 627, 510, 705, 438 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 627, 510, 705, 438 i.e 3.


3. How can I use the GCD of 627, 510, 705, 438Calculator?

Out the numbers 627, 510, 705, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.