GCD of 360, 256, 608, 558 Calculator

Given Input numbers are 360, 256, 608, 558

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

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 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

GCD of numbers is the greatest common divisor

So, the GCD (360, 256, 608, 558) = 2.

Given numbers are 360, 256, 608, 558

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Prime factors of 558 are 2 x 3 x 3 x 31

The highest common occurrence is 2¹

Therefore, GCD of 360, 256, 608, 558 is 2.

Given numbers are 360, 256, 608, 558

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

Apply this formula for all numbers.

Step1:

LCM(360, 256) = 11520

GCD(360, 256) = ( 360 x 256 ) / 11520

= 360 / 256

= 360

Step2:

LCM(8, 608) = 608

GCD(8, 608) = ( 8 x 608 ) / 608

= 8 / 608

= 8

Step3:

LCM(8, 558) = 2232

GCD(8, 558) = ( 8 x 558 ) / 2232

= 8 / 558

= 8

So, Greatest Common Divisor of 360, 256, 608, 558 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 368, 731, 153, 993
• GCD of 283, 318, 364, 633
• GCD of 324, 163, 354, 274
• GCD of 174, 732, 992, 565
• GCD of 195, 543, 281, 447

Given numbers are 360, 256, 608, 558
The greatest common divisor of numbers 360, 256, 608, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 256, 608, 558 is 2.

1. What is the GCD of 360, 256, 608, 558?

GCD of given numbers 360, 256, 608, 558 is 2

2. How to calculate the greatest common divisor of 360, 256, 608, 558?

We can find the highest common divisor of 360, 256, 608, 558 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 360, 256, 608, 558 i.e 2.

3. How can I use the GCD of 360, 256, 608, 558Calculator?

Out the numbers 360, 256, 608, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.