GCD of 809, 272, 300, 821 Calculator

Given Input numbers are 809, 272, 300, 821

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

Divisors of 809 :

The positive integer divisors of 809 that completely divides 809 are.

1, 809

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

GCD of numbers is the greatest common divisor

So, the GCD (809, 272, 300, 821) = 1.

Given numbers are 809, 272, 300, 821

The list of prime factors of all numbers are

Prime factors of 809 are 809

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

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

Prime factors of 821 are 821

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

Given numbers are 809, 272, 300, 821

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

Apply this formula for all numbers.

Step1:

LCM(809, 272) = 220048

GCD(809, 272) = ( 809 x 272 ) / 220048

= 809 / 272

= 809

Step2:

LCM(1, 300) = 300

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

= 1 / 300

= 1

Step3:

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

= 1 / 821

= 1

So, Greatest Common Divisor of 809, 272, 300, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 287, 859, 162, 184
• GCD of 969, 736, 601, 271
• GCD of 397, 253, 180, 167
• GCD of 250, 646, 482, 241
• GCD of 708, 612, 695, 760

Given numbers are 809, 272, 300, 821
The greatest common divisor of numbers 809, 272, 300, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 809, 272, 300, 821 is 1.

1. What is the GCD of 809, 272, 300, 821?

GCD of given numbers 809, 272, 300, 821 is 1

2. How to calculate the greatest common divisor of 809, 272, 300, 821?

We can find the highest common divisor of 809, 272, 300, 821 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 809, 272, 300, 821 i.e 1.

3. How can I use the GCD of 809, 272, 300, 821Calculator?

Out the numbers 809, 272, 300, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.