GCD of 585, 307, 380, 825 Calculator

Given Input numbers are 585, 307, 380, 825

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

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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

GCD of numbers is the greatest common divisor

So, the GCD (585, 307, 380, 825) = 1.

Given numbers are 585, 307, 380, 825

The list of prime factors of all numbers are

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 307 are 307

Prime factors of 380 are 2 x 2 x 5 x 19

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

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

Given numbers are 585, 307, 380, 825

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

Apply this formula for all numbers.

Step1:

LCM(585, 307) = 179595

GCD(585, 307) = ( 585 x 307 ) / 179595

= 585 / 307

= 585

Step2:

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

= 1 / 380

= 1

Step3:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

So, Greatest Common Divisor of 585, 307, 380, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 379, 140, 779, 669
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Given numbers are 585, 307, 380, 825
The greatest common divisor of numbers 585, 307, 380, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 307, 380, 825 is 1.

1. What is the GCD of 585, 307, 380, 825?

GCD of given numbers 585, 307, 380, 825 is 1

2. How to calculate the greatest common divisor of 585, 307, 380, 825?

We can find the highest common divisor of 585, 307, 380, 825 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 585, 307, 380, 825 i.e 1.

3. How can I use the GCD of 585, 307, 380, 825Calculator?

Out the numbers 585, 307, 380, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.