GCD of 260, 288, 162, 524 Calculator

Given Input numbers are 260, 288, 162, 524

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

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

GCD of numbers is the greatest common divisor

So, the GCD (260, 288, 162, 524) = 2.

Given numbers are 260, 288, 162, 524

The list of prime factors of all numbers are

Prime factors of 260 are 2 x 2 x 5 x 13

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 524 are 2 x 2 x 131

The highest common occurrence is 2¹

Therefore, GCD of 260, 288, 162, 524 is 2.

Given numbers are 260, 288, 162, 524

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

Apply this formula for all numbers.

Step1:

LCM(260, 288) = 18720

GCD(260, 288) = ( 260 x 288 ) / 18720

= 260 / 288

= 260

Step2:

LCM(4, 162) = 324

GCD(4, 162) = ( 4 x 162 ) / 324

= 4 / 162

= 4

Step3:

LCM(2, 524) = 524

GCD(2, 524) = ( 2 x 524 ) / 524

= 2 / 524

= 2

So, Greatest Common Divisor of 260, 288, 162, 524 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 270, 114, 120
• GCD of 330, 962, 196, 568
• GCD of 200, 878, 619, 958
• GCD of 874, 107, 764, 225
• GCD of 716, 575, 702, 768

Given numbers are 260, 288, 162, 524
The greatest common divisor of numbers 260, 288, 162, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 260, 288, 162, 524 is 2.

1. What is the GCD of 260, 288, 162, 524?

GCD of given numbers 260, 288, 162, 524 is 2

2. How to calculate the greatest common divisor of 260, 288, 162, 524?

We can find the highest common divisor of 260, 288, 162, 524 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 260, 288, 162, 524 i.e 2.

3. How can I use the GCD of 260, 288, 162, 524Calculator?

Out the numbers 260, 288, 162, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.