GCD of 900, 918, 247, 312 Calculator

Given Input numbers are 900, 918, 247, 312

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 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 247 :

The positive integer divisors of 247 that completely divides 247 are.

1, 13, 19, 247

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (900, 918, 247, 312) = 1.

Given numbers are 900, 918, 247, 312

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 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 247 are 13 x 19

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

Given numbers are 900, 918, 247, 312

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

Apply this formula for all numbers.

Step1:

LCM(900, 918) = 45900

GCD(900, 918) = ( 900 x 918 ) / 45900

= 900 / 918

= 900

Step2:

LCM(18, 247) = 4446

GCD(18, 247) = ( 18 x 247 ) / 4446

= 18 / 247

= 18

Step3:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1

So, Greatest Common Divisor of 900, 918, 247, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 546, 891, 223, 471
• GCD of 439, 522, 319, 736
• GCD of 287, 369, 231, 335
• GCD of 380, 397, 623, 969
• GCD of 914, 875, 297, 602

Given numbers are 900, 918, 247, 312
The greatest common divisor of numbers 900, 918, 247, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 918, 247, 312 is 1.

1. What is the GCD of 900, 918, 247, 312?

GCD of given numbers 900, 918, 247, 312 is 1

2. How to calculate the greatest common divisor of 900, 918, 247, 312?

We can find the highest common divisor of 900, 918, 247, 312 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, 918, 247, 312 i.e 1.

3. How can I use the GCD of 900, 918, 247, 312Calculator?

Out the numbers 900, 918, 247, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.