GCD of 520, 132, 308, 500 Calculator

Given Input numbers are 520, 132, 308, 500

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 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

GCD of numbers is the greatest common divisor

So, the GCD (520, 132, 308, 500) = 4.

Given numbers are 520, 132, 308, 500

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 132 are 2 x 2 x 3 x 11

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

The highest common occurrence is 2²

Therefore, GCD of 520, 132, 308, 500 is 4.

Given numbers are 520, 132, 308, 500

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

Apply this formula for all numbers.

Step1:

LCM(520, 132) = 17160

GCD(520, 132) = ( 520 x 132 ) / 17160

= 520 / 132

= 520

Step2:

LCM(4, 308) = 308

GCD(4, 308) = ( 4 x 308 ) / 308

= 4 / 308

= 4

Step3:

LCM(4, 500) = 500

GCD(4, 500) = ( 4 x 500 ) / 500

= 4 / 500

= 4

So, Greatest Common Divisor of 520, 132, 308, 500 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 588, 289, 538, 521
• GCD of 393, 123, 373, 495
• GCD of 246, 813, 180, 887
• GCD of 901, 784, 360, 938
• GCD of 796, 668, 832, 220

Given numbers are 520, 132, 308, 500
The greatest common divisor of numbers 520, 132, 308, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 132, 308, 500 is 4.

1. What is the GCD of 520, 132, 308, 500?

GCD of given numbers 520, 132, 308, 500 is 4

2. How to calculate the greatest common divisor of 520, 132, 308, 500?

We can find the highest common divisor of 520, 132, 308, 500 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, 132, 308, 500 i.e 4.

3. How can I use the GCD of 520, 132, 308, 500Calculator?

Out the numbers 520, 132, 308, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.