GCD of 144, 316, 912, 596 Calculator

Given Input numbers are 144, 316, 912, 596

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 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

GCD of numbers is the greatest common divisor

So, the GCD (144, 316, 912, 596) = 4.

Given numbers are 144, 316, 912, 596

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 316 are 2 x 2 x 79

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 596 are 2 x 2 x 149

The highest common occurrence is 2²

Therefore, GCD of 144, 316, 912, 596 is 4.

Given numbers are 144, 316, 912, 596

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

Apply this formula for all numbers.

Step1:

LCM(144, 316) = 11376

GCD(144, 316) = ( 144 x 316 ) / 11376

= 144 / 316

= 144

Step2:

LCM(4, 912) = 912

GCD(4, 912) = ( 4 x 912 ) / 912

= 4 / 912

= 4

Step3:

LCM(4, 596) = 596

GCD(4, 596) = ( 4 x 596 ) / 596

= 4 / 596

= 4

So, Greatest Common Divisor of 144, 316, 912, 596 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 836, 639, 578, 838
• GCD of 296, 333, 972, 147
• GCD of 868, 221, 915, 380
• GCD of 586, 389, 778, 664
• GCD of 113, 674, 441, 355

Given numbers are 144, 316, 912, 596
The greatest common divisor of numbers 144, 316, 912, 596 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 316, 912, 596 is 4.

1. What is the GCD of 144, 316, 912, 596?

GCD of given numbers 144, 316, 912, 596 is 4

2. How to calculate the greatest common divisor of 144, 316, 912, 596?

We can find the highest common divisor of 144, 316, 912, 596 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, 316, 912, 596 i.e 4.

3. How can I use the GCD of 144, 316, 912, 596Calculator?

Out the numbers 144, 316, 912, 596 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.