GCD of 578, 136, 144, 468 Calculator

Given Input numbers are 578, 136, 144, 468

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

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

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 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

GCD of numbers is the greatest common divisor

So, the GCD (578, 136, 144, 468) = 2.

Given numbers are 578, 136, 144, 468

The list of prime factors of all numbers are

Prime factors of 578 are 2 x 17 x 17

Prime factors of 136 are 2 x 2 x 2 x 17

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

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 578, 136, 144, 468 is 2.

Given numbers are 578, 136, 144, 468

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

Apply this formula for all numbers.

Step1:

LCM(578, 136) = 2312

GCD(578, 136) = ( 578 x 136 ) / 2312

= 578 / 136

= 578

Step2:

LCM(34, 144) = 2448

GCD(34, 144) = ( 34 x 144 ) / 2448

= 34 / 144

= 34

Step3:

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

= 2 / 468

= 2

So, Greatest Common Divisor of 578, 136, 144, 468 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 535, 580, 941, 726
• GCD of 830, 992, 506, 898
• GCD of 603, 572, 795, 449
• GCD of 125, 775, 567, 250
• GCD of 662, 789, 762, 756

Given numbers are 578, 136, 144, 468
The greatest common divisor of numbers 578, 136, 144, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 578, 136, 144, 468 is 2.

1. What is the GCD of 578, 136, 144, 468?

GCD of given numbers 578, 136, 144, 468 is 2

2. How to calculate the greatest common divisor of 578, 136, 144, 468?

We can find the highest common divisor of 578, 136, 144, 468 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 578, 136, 144, 468 i.e 2.

3. How can I use the GCD of 578, 136, 144, 468Calculator?

Out the numbers 578, 136, 144, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.