GCD of 260, 472, 522, 924 Calculator

Given Input numbers are 260, 472, 522, 924

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 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

GCD of numbers is the greatest common divisor

So, the GCD (260, 472, 522, 924) = 2.

Given numbers are 260, 472, 522, 924

The list of prime factors of all numbers are

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

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 260, 472, 522, 924 is 2.

Given numbers are 260, 472, 522, 924

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

Apply this formula for all numbers.

Step1:

LCM(260, 472) = 30680

GCD(260, 472) = ( 260 x 472 ) / 30680

= 260 / 472

= 260

Step2:

LCM(4, 522) = 1044

GCD(4, 522) = ( 4 x 522 ) / 1044

= 4 / 522

= 4

Step3:

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

= 2 / 924

= 2

So, Greatest Common Divisor of 260, 472, 522, 924 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 373, 837, 889, 725
• GCD of 372, 191, 470, 552
• GCD of 266, 513, 597, 733
• GCD of 779, 728, 702, 411
• GCD of 119, 167, 493, 663

Given numbers are 260, 472, 522, 924
The greatest common divisor of numbers 260, 472, 522, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 260, 472, 522, 924 is 2.

1. What is the GCD of 260, 472, 522, 924?

GCD of given numbers 260, 472, 522, 924 is 2

2. How to calculate the greatest common divisor of 260, 472, 522, 924?

We can find the highest common divisor of 260, 472, 522, 924 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, 472, 522, 924 i.e 2.

3. How can I use the GCD of 260, 472, 522, 924Calculator?

Out the numbers 260, 472, 522, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.