GCD of 282, 608, 628, 648 Calculator

Given Input numbers are 282, 608, 628, 648

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

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

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 (282, 608, 628, 648) = 2.

Given numbers are 282, 608, 628, 648

The list of prime factors of all numbers are

Prime factors of 282 are 2 x 3 x 47

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 628 are 2 x 2 x 157

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

The highest common occurrence is 2¹

Therefore, GCD of 282, 608, 628, 648 is 2.

Given numbers are 282, 608, 628, 648

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

Apply this formula for all numbers.

Step1:

LCM(282, 608) = 85728

GCD(282, 608) = ( 282 x 608 ) / 85728

= 282 / 608

= 282

Step2:

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

= 2 / 628

= 2

Step3:

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

= 2 / 648

= 2

So, Greatest Common Divisor of 282, 608, 628, 648 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 906, 303, 737, 109
• GCD of 722, 767, 522, 835
• GCD of 179, 479, 677, 806
• GCD of 162, 100, 521, 908
• GCD of 710, 674, 955, 784

Given numbers are 282, 608, 628, 648
The greatest common divisor of numbers 282, 608, 628, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 282, 608, 628, 648 is 2.

1. What is the GCD of 282, 608, 628, 648?

GCD of given numbers 282, 608, 628, 648 is 2

2. How to calculate the greatest common divisor of 282, 608, 628, 648?

We can find the highest common divisor of 282, 608, 628, 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 282, 608, 628, 648 i.e 2.

3. How can I use the GCD of 282, 608, 628, 648Calculator?

Out the numbers 282, 608, 628, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.