GCD of 520, 558, 828, 272 Calculator

Given Input numbers are 520, 558, 828, 272

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

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

GCD of numbers is the greatest common divisor

So, the GCD (520, 558, 828, 272) = 2.

Given numbers are 520, 558, 828, 272

The list of prime factors of all numbers are

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

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

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

The highest common occurrence is 2¹

Therefore, GCD of 520, 558, 828, 272 is 2.

Given numbers are 520, 558, 828, 272

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

Apply this formula for all numbers.

Step1:

LCM(520, 558) = 145080

GCD(520, 558) = ( 520 x 558 ) / 145080

= 520 / 558

= 520

Step2:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

Step3:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2

So, Greatest Common Divisor of 520, 558, 828, 272 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 874, 155, 576, 806
• GCD of 692, 701, 393, 340
• GCD of 280, 398, 765, 270
• GCD of 583, 223, 235, 413
• GCD of 958, 818, 902, 352

Given numbers are 520, 558, 828, 272
The greatest common divisor of numbers 520, 558, 828, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 558, 828, 272 is 2.

1. What is the GCD of 520, 558, 828, 272?

GCD of given numbers 520, 558, 828, 272 is 2

2. How to calculate the greatest common divisor of 520, 558, 828, 272?

We can find the highest common divisor of 520, 558, 828, 272 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 520, 558, 828, 272 i.e 2.

3. How can I use the GCD of 520, 558, 828, 272Calculator?

Out the numbers 520, 558, 828, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.