GCD of 580, 520, 966, 130 Calculator

Given Input numbers are 580, 520, 966, 130

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

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

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 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

GCD of numbers is the greatest common divisor

So, the GCD (580, 520, 966, 130) = 2.

Given numbers are 580, 520, 966, 130

The list of prime factors of all numbers are

Prime factors of 580 are 2 x 2 x 5 x 29

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

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 130 are 2 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 580, 520, 966, 130 is 2.

Given numbers are 580, 520, 966, 130

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

Apply this formula for all numbers.

Step1:

LCM(580, 520) = 15080

GCD(580, 520) = ( 580 x 520 ) / 15080

= 580 / 520

= 580

Step2:

LCM(20, 966) = 9660

GCD(20, 966) = ( 20 x 966 ) / 9660

= 20 / 966

= 20

Step3:

LCM(2, 130) = 130

GCD(2, 130) = ( 2 x 130 ) / 130

= 2 / 130

= 2

So, Greatest Common Divisor of 580, 520, 966, 130 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 642, 323, 451, 273
• GCD of 588, 438, 110, 732
• GCD of 308, 154, 767, 859
• GCD of 426, 726, 455, 752
• GCD of 594, 676, 324, 189

Given numbers are 580, 520, 966, 130
The greatest common divisor of numbers 580, 520, 966, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 520, 966, 130 is 2.

1. What is the GCD of 580, 520, 966, 130?

GCD of given numbers 580, 520, 966, 130 is 2

2. How to calculate the greatest common divisor of 580, 520, 966, 130?

We can find the highest common divisor of 580, 520, 966, 130 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 580, 520, 966, 130 i.e 2.

3. How can I use the GCD of 580, 520, 966, 130Calculator?

Out the numbers 580, 520, 966, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.