GCD of 900, 814, 30, 765 Calculator

Given Input numbers are 900, 814, 30, 765

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 814 :

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

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

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

GCD of numbers is the greatest common divisor

So, the GCD (900, 814, 30, 765) = 1.

Given numbers are 900, 814, 30, 765

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 814 are 2 x 11 x 37

Prime factors of 30 are 2 x 3 x 5

Prime factors of 765 are 3 x 3 x 5 x 17

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

Given numbers are 900, 814, 30, 765

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

Apply this formula for all numbers.

Step1:

LCM(900, 814) = 366300

GCD(900, 814) = ( 900 x 814 ) / 366300

= 900 / 814

= 900

Step2:

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

= 2 / 30

= 2

Step3:

LCM(2, 765) = 1530

GCD(2, 765) = ( 2 x 765 ) / 1530

= 2 / 765

= 2

So, Greatest Common Divisor of 900, 814, 30, 765 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 536, 835, 79, 343
• GCD of 773, 849, 54, 969
• GCD of 937, 115, 97, 552
• GCD of 765, 887, 40, 179
• GCD of 120, 374, 97, 698

Given numbers are 900, 814, 30, 765
The greatest common divisor of numbers 900, 814, 30, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 814, 30, 765 is 1.

1. What is the GCD of 900, 814, 30, 765?

GCD of given numbers 900, 814, 30, 765 is 1

2. How to calculate the greatest common divisor of 900, 814, 30, 765?

We can find the highest common divisor of 900, 814, 30, 765 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, 814, 30, 765 i.e 1.

3. How can I use the GCD of 900, 814, 30, 765Calculator?

Out the numbers 900, 814, 30, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.