GCD of 279, 675, 595, 828 Calculator

Given Input numbers are 279, 675, 595, 828

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

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 595 :

The positive integer divisors of 595 that completely divides 595 are.

1, 5, 7, 17, 35, 85, 119, 595

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

GCD of numbers is the greatest common divisor

So, the GCD (279, 675, 595, 828) = 1.

Given numbers are 279, 675, 595, 828

The list of prime factors of all numbers are

Prime factors of 279 are 3 x 3 x 31

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 595 are 5 x 7 x 17

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

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

Given numbers are 279, 675, 595, 828

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

Apply this formula for all numbers.

Step1:

LCM(279, 675) = 20925

GCD(279, 675) = ( 279 x 675 ) / 20925

= 279 / 675

= 279

Step2:

LCM(9, 595) = 5355

GCD(9, 595) = ( 9 x 595 ) / 5355

= 9 / 595

= 9

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 279, 675, 595, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 773, 683, 133, 957
• GCD of 123, 504, 223, 894
• GCD of 682, 940, 404, 169
• GCD of 720, 461, 132, 703
• GCD of 360, 121, 388, 538

Given numbers are 279, 675, 595, 828
The greatest common divisor of numbers 279, 675, 595, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 279, 675, 595, 828 is 1.

1. What is the GCD of 279, 675, 595, 828?

GCD of given numbers 279, 675, 595, 828 is 1

2. How to calculate the greatest common divisor of 279, 675, 595, 828?

We can find the highest common divisor of 279, 675, 595, 828 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 279, 675, 595, 828 i.e 1.

3. How can I use the GCD of 279, 675, 595, 828Calculator?

Out the numbers 279, 675, 595, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.