GCD of 578, 120, 608, 654 Calculator

Given Input numbers are 578, 120, 608, 654

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 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

GCD of numbers is the greatest common divisor

So, the GCD (578, 120, 608, 654) = 2.

Given numbers are 578, 120, 608, 654

The list of prime factors of all numbers are

Prime factors of 578 are 2 x 17 x 17

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 654 are 2 x 3 x 109

The highest common occurrence is 2¹

Therefore, GCD of 578, 120, 608, 654 is 2.

Given numbers are 578, 120, 608, 654

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

Apply this formula for all numbers.

Step1:

LCM(578, 120) = 34680

GCD(578, 120) = ( 578 x 120 ) / 34680

= 578 / 120

= 578

Step2:

LCM(2, 608) = 608

GCD(2, 608) = ( 2 x 608 ) / 608

= 2 / 608

= 2

Step3:

LCM(2, 654) = 654

GCD(2, 654) = ( 2 x 654 ) / 654

= 2 / 654

= 2

So, Greatest Common Divisor of 578, 120, 608, 654 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 353, 465, 565
• GCD of 578, 835, 568, 109
• GCD of 146, 234, 304, 269
• GCD of 100, 801, 561, 164
• GCD of 405, 797, 685, 284

Given numbers are 578, 120, 608, 654
The greatest common divisor of numbers 578, 120, 608, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 578, 120, 608, 654 is 2.

1. What is the GCD of 578, 120, 608, 654?

GCD of given numbers 578, 120, 608, 654 is 2

2. How to calculate the greatest common divisor of 578, 120, 608, 654?

We can find the highest common divisor of 578, 120, 608, 654 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, 120, 608, 654 i.e 2.

3. How can I use the GCD of 578, 120, 608, 654Calculator?

Out the numbers 578, 120, 608, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.