GCD of 360, 572, 284, 290 Calculator

Given Input numbers are 360, 572, 284, 290

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 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

GCD of numbers is the greatest common divisor

So, the GCD (360, 572, 284, 290) = 2.

Given numbers are 360, 572, 284, 290

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 572 are 2 x 2 x 11 x 13

Prime factors of 284 are 2 x 2 x 71

Prime factors of 290 are 2 x 5 x 29

The highest common occurrence is 2¹

Therefore, GCD of 360, 572, 284, 290 is 2.

Given numbers are 360, 572, 284, 290

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

Apply this formula for all numbers.

Step1:

LCM(360, 572) = 51480

GCD(360, 572) = ( 360 x 572 ) / 51480

= 360 / 572

= 360

Step2:

LCM(4, 284) = 284

GCD(4, 284) = ( 4 x 284 ) / 284

= 4 / 284

= 4

Step3:

LCM(4, 290) = 580

GCD(4, 290) = ( 4 x 290 ) / 580

= 4 / 290

= 4

So, Greatest Common Divisor of 360, 572, 284, 290 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 541, 510, 861
• GCD of 227, 697, 300, 105
• GCD of 616, 113, 672, 454
• GCD of 401, 396, 364, 525
• GCD of 677, 424, 566, 775

Given numbers are 360, 572, 284, 290
The greatest common divisor of numbers 360, 572, 284, 290 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 572, 284, 290 is 2.

1. What is the GCD of 360, 572, 284, 290?

GCD of given numbers 360, 572, 284, 290 is 2

2. How to calculate the greatest common divisor of 360, 572, 284, 290?

We can find the highest common divisor of 360, 572, 284, 290 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, 572, 284, 290 i.e 2.

3. How can I use the GCD of 360, 572, 284, 290Calculator?

Out the numbers 360, 572, 284, 290 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.