GCD of 627, 510, 705, 438 Calculator

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.

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.

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

Here are some samples of GCD of Numbers calculations.

• GCD of 379, 738, 622, 455
• GCD of 906, 518, 350, 166
• GCD of 432, 297, 177, 429
• GCD of 230, 819, 410, 368
• GCD of 440, 229, 997, 881

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.

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.