GCD of 144, 240, 494, 924 Calculator

Given Input numbers are 144, 240, 494, 924

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

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

GCD of numbers is the greatest common divisor

So, the GCD (144, 240, 494, 924) = 2.

Given numbers are 144, 240, 494, 924

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

Prime factors of 494 are 2 x 13 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 144, 240, 494, 924 is 2.

Given numbers are 144, 240, 494, 924

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

Apply this formula for all numbers.

Step1:

LCM(144, 240) = 720

GCD(144, 240) = ( 144 x 240 ) / 720

= 144 / 240

= 144

Step2:

LCM(48, 494) = 11856

GCD(48, 494) = ( 48 x 494 ) / 11856

= 48 / 494

= 48

Step3:

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

= 2 / 924

= 2

So, Greatest Common Divisor of 144, 240, 494, 924 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 462, 974, 237, 759
• GCD of 871, 905, 161, 285
• GCD of 753, 166, 327, 130
• GCD of 603, 977, 210, 520
• GCD of 656, 393, 271, 599

Given numbers are 144, 240, 494, 924
The greatest common divisor of numbers 144, 240, 494, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 240, 494, 924 is 2.

1. What is the GCD of 144, 240, 494, 924?

GCD of given numbers 144, 240, 494, 924 is 2

2. How to calculate the greatest common divisor of 144, 240, 494, 924?

We can find the highest common divisor of 144, 240, 494, 924 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 144, 240, 494, 924 i.e 2.

3. How can I use the GCD of 144, 240, 494, 924Calculator?

Out the numbers 144, 240, 494, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.