GCD of 144, 478, 140, 396 Calculator

Given Input numbers are 144, 478, 140, 396

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 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

GCD of numbers is the greatest common divisor

So, the GCD (144, 478, 140, 396) = 2.

Given numbers are 144, 478, 140, 396

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 478 are 2 x 239

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 144, 478, 140, 396 is 2.

Given numbers are 144, 478, 140, 396

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

Apply this formula for all numbers.

Step1:

LCM(144, 478) = 34416

GCD(144, 478) = ( 144 x 478 ) / 34416

= 144 / 478

= 144

Step2:

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

= 2 / 140

= 2

Step3:

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

= 2 / 396

= 2

So, Greatest Common Divisor of 144, 478, 140, 396 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 516, 460, 551
• GCD of 693, 333, 505, 856
• GCD of 789, 439, 868, 319
• GCD of 260, 336, 399, 596
• GCD of 559, 166, 262, 582

Given numbers are 144, 478, 140, 396
The greatest common divisor of numbers 144, 478, 140, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 478, 140, 396 is 2.

1. What is the GCD of 144, 478, 140, 396?

GCD of given numbers 144, 478, 140, 396 is 2

2. How to calculate the greatest common divisor of 144, 478, 140, 396?

We can find the highest common divisor of 144, 478, 140, 396 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, 478, 140, 396 i.e 2.

3. How can I use the GCD of 144, 478, 140, 396Calculator?

Out the numbers 144, 478, 140, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.