GCD of 522, 496, 240, 104 Calculator

Given Input numbers are 522, 496, 240, 104

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

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 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

GCD of numbers is the greatest common divisor

So, the GCD (522, 496, 240, 104) = 2.

Given numbers are 522, 496, 240, 104

The list of prime factors of all numbers are

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

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 104 are 2 x 2 x 2 x 13

The highest common occurrence is 2¹

Therefore, GCD of 522, 496, 240, 104 is 2.

Given numbers are 522, 496, 240, 104

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

Apply this formula for all numbers.

Step1:

LCM(522, 496) = 129456

GCD(522, 496) = ( 522 x 496 ) / 129456

= 522 / 496

= 522

Step2:

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

= 2 / 240

= 2

Step3:

LCM(2, 104) = 104

GCD(2, 104) = ( 2 x 104 ) / 104

= 2 / 104

= 2

So, Greatest Common Divisor of 522, 496, 240, 104 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 384, 291, 340, 549
• GCD of 956, 666, 759, 594
• GCD of 404, 565, 146, 954
• GCD of 202, 277, 681, 869
• GCD of 472, 421, 258, 133

Given numbers are 522, 496, 240, 104
The greatest common divisor of numbers 522, 496, 240, 104 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 496, 240, 104 is 2.

1. What is the GCD of 522, 496, 240, 104?

GCD of given numbers 522, 496, 240, 104 is 2

2. How to calculate the greatest common divisor of 522, 496, 240, 104?

We can find the highest common divisor of 522, 496, 240, 104 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 522, 496, 240, 104 i.e 2.

3. How can I use the GCD of 522, 496, 240, 104Calculator?

Out the numbers 522, 496, 240, 104 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.