GCD of 580, 972, 524, 510 Calculator

Given Input numbers are 580, 972, 524, 510

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 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

GCD of numbers is the greatest common divisor

So, the GCD (580, 972, 524, 510) = 2.

Given numbers are 580, 972, 524, 510

The list of prime factors of all numbers are

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

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 524 are 2 x 2 x 131

Prime factors of 510 are 2 x 3 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 580, 972, 524, 510 is 2.

Given numbers are 580, 972, 524, 510

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

Apply this formula for all numbers.

Step1:

LCM(580, 972) = 140940

GCD(580, 972) = ( 580 x 972 ) / 140940

= 580 / 972

= 580

Step2:

LCM(4, 524) = 524

GCD(4, 524) = ( 4 x 524 ) / 524

= 4 / 524

= 4

Step3:

LCM(4, 510) = 1020

GCD(4, 510) = ( 4 x 510 ) / 1020

= 4 / 510

= 4

So, Greatest Common Divisor of 580, 972, 524, 510 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 852, 775, 527
• GCD of 549, 175, 134, 464
• GCD of 727, 709, 304, 719
• GCD of 173, 845, 140, 580
• GCD of 457, 754, 190, 230

Given numbers are 580, 972, 524, 510
The greatest common divisor of numbers 580, 972, 524, 510 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 972, 524, 510 is 2.

1. What is the GCD of 580, 972, 524, 510?

GCD of given numbers 580, 972, 524, 510 is 2

2. How to calculate the greatest common divisor of 580, 972, 524, 510?

We can find the highest common divisor of 580, 972, 524, 510 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, 972, 524, 510 i.e 2.

3. How can I use the GCD of 580, 972, 524, 510Calculator?

Out the numbers 580, 972, 524, 510 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.