GCD of 825, 539, 210, 300 Calculator

Given Input numbers are 825, 539, 210, 300

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

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 539 :

The positive integer divisors of 539 that completely divides 539 are.

1, 7, 11, 49, 77, 539

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (825, 539, 210, 300) = 1.

Given numbers are 825, 539, 210, 300

The list of prime factors of all numbers are

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

Prime factors of 539 are 7 x 7 x 11

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

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

Given numbers are 825, 539, 210, 300

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

Apply this formula for all numbers.

Step1:

LCM(825, 539) = 40425

GCD(825, 539) = ( 825 x 539 ) / 40425

= 825 / 539

= 825

Step2:

LCM(11, 210) = 2310

GCD(11, 210) = ( 11 x 210 ) / 2310

= 11 / 210

= 11

Step3:

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

= 1 / 300

= 1

So, Greatest Common Divisor of 825, 539, 210, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 322, 668, 266, 364
• GCD of 154, 681, 227, 938
• GCD of 314, 139, 651, 175
• GCD of 255, 396, 152, 457
• GCD of 449, 286, 644, 560

Given numbers are 825, 539, 210, 300
The greatest common divisor of numbers 825, 539, 210, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 539, 210, 300 is 1.

1. What is the GCD of 825, 539, 210, 300?

GCD of given numbers 825, 539, 210, 300 is 1

2. How to calculate the greatest common divisor of 825, 539, 210, 300?

We can find the highest common divisor of 825, 539, 210, 300 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 825, 539, 210, 300 i.e 1.

3. How can I use the GCD of 825, 539, 210, 300Calculator?

Out the numbers 825, 539, 210, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.