GCD of 520, 392, 644, 558 Calculator

Given Input numbers are 520, 392, 644, 558

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 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

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

GCD of numbers is the greatest common divisor

So, the GCD (520, 392, 644, 558) = 2.

Given numbers are 520, 392, 644, 558

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 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 644 are 2 x 2 x 7 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 520, 392, 644, 558 is 2.

Given numbers are 520, 392, 644, 558

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

Apply this formula for all numbers.

Step1:

LCM(520, 392) = 25480

GCD(520, 392) = ( 520 x 392 ) / 25480

= 520 / 392

= 520

Step2:

LCM(8, 644) = 1288

GCD(8, 644) = ( 8 x 644 ) / 1288

= 8 / 644

= 8

Step3:

LCM(4, 558) = 1116

GCD(4, 558) = ( 4 x 558 ) / 1116

= 4 / 558

= 4

So, Greatest Common Divisor of 520, 392, 644, 558 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 817, 829, 163, 544
• GCD of 197, 161, 960, 389
• GCD of 901, 955, 100, 369
• GCD of 923, 627, 884, 351
• GCD of 922, 824, 782, 504

Given numbers are 520, 392, 644, 558
The greatest common divisor of numbers 520, 392, 644, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 392, 644, 558 is 2.

1. What is the GCD of 520, 392, 644, 558?

GCD of given numbers 520, 392, 644, 558 is 2

2. How to calculate the greatest common divisor of 520, 392, 644, 558?

We can find the highest common divisor of 520, 392, 644, 558 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, 392, 644, 558 i.e 2.

3. How can I use the GCD of 520, 392, 644, 558Calculator?

Out the numbers 520, 392, 644, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.