GCD of 924, 648, 240, 663 Calculator

Given Input numbers are 924, 648, 240, 663

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

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

GCD of numbers is the greatest common divisor

So, the GCD (924, 648, 240, 663) = 3.

Given numbers are 924, 648, 240, 663

The list of prime factors of all numbers are

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

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

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 663 are 3 x 13 x 17

The highest common occurrence is 3¹

Therefore, GCD of 924, 648, 240, 663 is 3.

Given numbers are 924, 648, 240, 663

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

Apply this formula for all numbers.

Step1:

LCM(924, 648) = 49896

GCD(924, 648) = ( 924 x 648 ) / 49896

= 924 / 648

= 924

Step2:

LCM(12, 240) = 240

GCD(12, 240) = ( 12 x 240 ) / 240

= 12 / 240

= 12

Step3:

LCM(12, 663) = 2652

GCD(12, 663) = ( 12 x 663 ) / 2652

= 12 / 663

= 12

So, Greatest Common Divisor of 924, 648, 240, 663 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 654, 535, 639, 325
• GCD of 366, 425, 172, 441
• GCD of 463, 660, 255, 416
• GCD of 275, 260, 965, 608
• GCD of 731, 440, 753, 302

Given numbers are 924, 648, 240, 663
The greatest common divisor of numbers 924, 648, 240, 663 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 648, 240, 663 is 3.

1. What is the GCD of 924, 648, 240, 663?

GCD of given numbers 924, 648, 240, 663 is 3

2. How to calculate the greatest common divisor of 924, 648, 240, 663?

We can find the highest common divisor of 924, 648, 240, 663 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 924, 648, 240, 663 i.e 3.

3. How can I use the GCD of 924, 648, 240, 663Calculator?

Out the numbers 924, 648, 240, 663 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.