GCD of 364, 819, 284, 900 Calculator

Given Input numbers are 364, 819, 284, 900

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (364, 819, 284, 900) = 1.

Given numbers are 364, 819, 284, 900

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 819 are 3 x 3 x 7 x 13

Prime factors of 284 are 2 x 2 x 71

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Given numbers are 364, 819, 284, 900

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

Apply this formula for all numbers.

Step1:

LCM(364, 819) = 3276

GCD(364, 819) = ( 364 x 819 ) / 3276

= 364 / 819

= 364

Step2:

LCM(91, 284) = 25844

GCD(91, 284) = ( 91 x 284 ) / 25844

= 91 / 284

= 91

Step3:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

So, Greatest Common Divisor of 364, 819, 284, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 346, 286, 125, 750
• GCD of 846, 966, 888, 345
• GCD of 922, 315, 898, 851
• GCD of 155, 105, 834, 730
• GCD of 111, 620, 115, 703

Given numbers are 364, 819, 284, 900
The greatest common divisor of numbers 364, 819, 284, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 819, 284, 900 is 1.

1. What is the GCD of 364, 819, 284, 900?

GCD of given numbers 364, 819, 284, 900 is 1

2. How to calculate the greatest common divisor of 364, 819, 284, 900?

We can find the highest common divisor of 364, 819, 284, 900 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 364, 819, 284, 900 i.e 1.

3. How can I use the GCD of 364, 819, 284, 900Calculator?

Out the numbers 364, 819, 284, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.