GCD of 900, 329, 65, 814 Calculator

Given Input numbers are 900, 329, 65, 814

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

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

Divisors of 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

Divisors of 65 :

The positive integer divisors of 65 that completely divides 65 are.

1, 5, 13, 65

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

GCD of numbers is the greatest common divisor

So, the GCD (900, 329, 65, 814) = 1.

Given numbers are 900, 329, 65, 814

The list of prime factors of all numbers are

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

Prime factors of 329 are 7 x 47

Prime factors of 65 are 5 x 13

Prime factors of 814 are 2 x 11 x 37

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

Given numbers are 900, 329, 65, 814

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

Apply this formula for all numbers.

Step1:

LCM(900, 329) = 296100

GCD(900, 329) = ( 900 x 329 ) / 296100

= 900 / 329

= 900

Step2:

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

= 1 / 65

= 1

Step3:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1

So, Greatest Common Divisor of 900, 329, 65, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 149, 141, 49, 673
• GCD of 787, 200, 14, 889
• GCD of 367, 239, 78, 236
• GCD of 770, 692, 29, 210
• GCD of 226, 413, 37, 443

Given numbers are 900, 329, 65, 814
The greatest common divisor of numbers 900, 329, 65, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 329, 65, 814 is 1.

1. What is the GCD of 900, 329, 65, 814?

GCD of given numbers 900, 329, 65, 814 is 1

2. How to calculate the greatest common divisor of 900, 329, 65, 814?

We can find the highest common divisor of 900, 329, 65, 814 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 900, 329, 65, 814 i.e 1.

3. How can I use the GCD of 900, 329, 65, 814Calculator?

Out the numbers 900, 329, 65, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.