GCD of 509, 960, 794, 825 Calculator

Given Input numbers are 509, 960, 794, 825

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

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794

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 (509, 960, 794, 825) = 1.

Given numbers are 509, 960, 794, 825

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 794 are 2 x 397

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 509, 960, 794, 825

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

Apply this formula for all numbers.

Step1:

LCM(509, 960) = 488640

GCD(509, 960) = ( 509 x 960 ) / 488640

= 509 / 960

= 509

Step2:

LCM(1, 794) = 794

GCD(1, 794) = ( 1 x 794 ) / 794

= 1 / 794

= 1

Step3:

LCM(1, 825) = 825

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

= 1 / 825

= 1

So, Greatest Common Divisor of 509, 960, 794, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 992, 692, 824, 587
• GCD of 671, 323, 776, 475
• GCD of 173, 699, 375, 266
• GCD of 589, 453, 971, 215
• GCD of 600, 462, 892, 356

Given numbers are 509, 960, 794, 825
The greatest common divisor of numbers 509, 960, 794, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 960, 794, 825 is 1.

1. What is the GCD of 509, 960, 794, 825?

GCD of given numbers 509, 960, 794, 825 is 1

2. How to calculate the greatest common divisor of 509, 960, 794, 825?

We can find the highest common divisor of 509, 960, 794, 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 509, 960, 794, 825 i.e 1.

3. How can I use the GCD of 509, 960, 794, 825Calculator?

Out the numbers 509, 960, 794, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.