GCD of 578, 560, 24 Calculator

Given Input numbers are 578, 560, 24

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 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

GCD of numbers is the greatest common divisor

So, the GCD (578, 560, 24) = 2.

Given numbers are 578, 560, 24

The list of prime factors of all numbers are

Prime factors of 578 are 2 x 17 x 17

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 24 are 2 x 2 x 2 x 3

The highest common occurrence is 2¹

Therefore, GCD of 578, 560, 24 is 2.

Given numbers are 578, 560, 24

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

Apply this formula for all numbers.

Step1:

LCM(578, 560) = 161840

GCD(578, 560) = ( 578 x 560 ) / 161840

= 578 / 560

= 578

Step2:

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

= 2 / 24

= 2

So, Greatest Common Divisor of 578, 560, 24 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 359, 387, 79
• GCD of 273, 630, 60
• GCD of 745, 731, 68
• GCD of 736, 997, 30
• GCD of 972, 603, 84

Given numbers are 578, 560, 24
The greatest common divisor of numbers 578, 560, 24 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 578, 560, 24 is 2.

1. What is the GCD of 578, 560, 24?

GCD of given numbers 578, 560, 24 is 2

2. How to calculate the greatest common divisor of 578, 560, 24?

We can find the highest common divisor of 578, 560, 24 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, 560, 24 i.e 2.

3. How can I use the GCD of 578, 560, 24Calculator?

Out the numbers 578, 560, 24 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.