GCD of 144, 312, 520, 600 Calculator

Given Input numbers are 144, 312, 520, 600

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 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (144, 312, 520, 600) = 8.

Given numbers are 144, 312, 520, 600

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 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2³

Therefore, GCD of 144, 312, 520, 600 is 8.

Given numbers are 144, 312, 520, 600

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

Apply this formula for all numbers.

Step1:

LCM(144, 312) = 1872

GCD(144, 312) = ( 144 x 312 ) / 1872

= 144 / 312

= 144

Step2:

LCM(24, 520) = 1560

GCD(24, 520) = ( 24 x 520 ) / 1560

= 24 / 520

= 24

Step3:

LCM(8, 600) = 600

GCD(8, 600) = ( 8 x 600 ) / 600

= 8 / 600

= 8

So, Greatest Common Divisor of 144, 312, 520, 600 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 694, 556, 315
• GCD of 676, 424, 459, 355
• GCD of 819, 793, 728, 213
• GCD of 685, 256, 537, 503
• GCD of 510, 349, 367, 523

Given numbers are 144, 312, 520, 600
The greatest common divisor of numbers 144, 312, 520, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 312, 520, 600 is 8.

1. What is the GCD of 144, 312, 520, 600?

GCD of given numbers 144, 312, 520, 600 is 8

2. How to calculate the greatest common divisor of 144, 312, 520, 600?

We can find the highest common divisor of 144, 312, 520, 600 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, 312, 520, 600 i.e 8.

3. How can I use the GCD of 144, 312, 520, 600Calculator?

Out the numbers 144, 312, 520, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.