GCD of 580, 308, 825, 765 Calculator

Given Input numbers are 580, 308, 825, 765

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 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 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

GCD of numbers is the greatest common divisor

So, the GCD (580, 308, 825, 765) = 1.

Given numbers are 580, 308, 825, 765

The list of prime factors of all numbers are

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

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

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 765 are 3 x 3 x 5 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 580, 308, 825, 765

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

Apply this formula for all numbers.

Step1:

LCM(580, 308) = 44660

GCD(580, 308) = ( 580 x 308 ) / 44660

= 580 / 308

= 580

Step2:

LCM(4, 825) = 3300

GCD(4, 825) = ( 4 x 825 ) / 3300

= 4 / 825

= 4

Step3:

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

= 1 / 765

= 1

So, Greatest Common Divisor of 580, 308, 825, 765 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 444, 935, 944, 564
• GCD of 697, 365, 961, 554
• GCD of 378, 875, 761, 388
• GCD of 252, 160, 308, 738
• GCD of 168, 575, 100, 151

Given numbers are 580, 308, 825, 765
The greatest common divisor of numbers 580, 308, 825, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 308, 825, 765 is 1.

1. What is the GCD of 580, 308, 825, 765?

GCD of given numbers 580, 308, 825, 765 is 1

2. How to calculate the greatest common divisor of 580, 308, 825, 765?

We can find the highest common divisor of 580, 308, 825, 765 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, 308, 825, 765 i.e 1.

3. How can I use the GCD of 580, 308, 825, 765Calculator?

Out the numbers 580, 308, 825, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.