GCD of 828, 114, 585, 680 Calculator

Given Input numbers are 828, 114, 585, 680

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

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 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (828, 114, 585, 680) = 1.

Given numbers are 828, 114, 585, 680

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 114 are 2 x 3 x 19

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

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

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

Given numbers are 828, 114, 585, 680

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

Apply this formula for all numbers.

Step1:

LCM(828, 114) = 15732

GCD(828, 114) = ( 828 x 114 ) / 15732

= 828 / 114

= 828

Step2:

LCM(6, 585) = 1170

GCD(6, 585) = ( 6 x 585 ) / 1170

= 6 / 585

= 6

Step3:

LCM(3, 680) = 2040

GCD(3, 680) = ( 3 x 680 ) / 2040

= 3 / 680

= 3

So, Greatest Common Divisor of 828, 114, 585, 680 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 417, 492, 210, 847
• GCD of 913, 258, 848, 411
• GCD of 239, 206, 101, 531
• GCD of 505, 905, 662, 677
• GCD of 434, 177, 661, 437

Given numbers are 828, 114, 585, 680
The greatest common divisor of numbers 828, 114, 585, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 114, 585, 680 is 1.

1. What is the GCD of 828, 114, 585, 680?

GCD of given numbers 828, 114, 585, 680 is 1

2. How to calculate the greatest common divisor of 828, 114, 585, 680?

We can find the highest common divisor of 828, 114, 585, 680 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 828, 114, 585, 680 i.e 1.

3. How can I use the GCD of 828, 114, 585, 680Calculator?

Out the numbers 828, 114, 585, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.