GCD of 627, 495, 270, 648 Calculator

Given Input numbers are 627, 495, 270, 648

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 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

GCD of numbers is the greatest common divisor

So, the GCD (627, 495, 270, 648) = 3.

Given numbers are 627, 495, 270, 648

The list of prime factors of all numbers are

Prime factors of 627 are 3 x 11 x 19

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 627, 495, 270, 648 is 3.

Given numbers are 627, 495, 270, 648

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

Apply this formula for all numbers.

Step1:

LCM(627, 495) = 9405

GCD(627, 495) = ( 627 x 495 ) / 9405

= 627 / 495

= 627

Step2:

LCM(33, 270) = 2970

GCD(33, 270) = ( 33 x 270 ) / 2970

= 33 / 270

= 33

Step3:

LCM(3, 648) = 648

GCD(3, 648) = ( 3 x 648 ) / 648

= 3 / 648

= 3

So, Greatest Common Divisor of 627, 495, 270, 648 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 454, 109, 102
• GCD of 361, 509, 835, 681
• GCD of 454, 715, 321, 212
• GCD of 188, 268, 648, 537
• GCD of 851, 438, 534, 741

Given numbers are 627, 495, 270, 648
The greatest common divisor of numbers 627, 495, 270, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 627, 495, 270, 648 is 3.

1. What is the GCD of 627, 495, 270, 648?

GCD of given numbers 627, 495, 270, 648 is 3

2. How to calculate the greatest common divisor of 627, 495, 270, 648?

We can find the highest common divisor of 627, 495, 270, 648 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, 495, 270, 648 i.e 3.

3. How can I use the GCD of 627, 495, 270, 648Calculator?

Out the numbers 627, 495, 270, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.