GCD of 900, 117, 288, 797 Calculator

Given Input numbers are 900, 117, 288, 797

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 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 797 :

The positive integer divisors of 797 that completely divides 797 are.

1, 797

GCD of numbers is the greatest common divisor

So, the GCD (900, 117, 288, 797) = 1.

Given numbers are 900, 117, 288, 797

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 117 are 3 x 3 x 13

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 797 are 797

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

Given numbers are 900, 117, 288, 797

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

Apply this formula for all numbers.

Step1:

LCM(900, 117) = 11700

GCD(900, 117) = ( 900 x 117 ) / 11700

= 900 / 117

= 900

Step2:

LCM(9, 288) = 288

GCD(9, 288) = ( 9 x 288 ) / 288

= 9 / 288

= 9

Step3:

LCM(9, 797) = 7173

GCD(9, 797) = ( 9 x 797 ) / 7173

= 9 / 797

= 9

So, Greatest Common Divisor of 900, 117, 288, 797 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 574, 301, 519, 970
• GCD of 762, 529, 310, 621
• GCD of 634, 158, 511, 451
• GCD of 955, 296, 409, 406
• GCD of 108, 228, 106, 204

Given numbers are 900, 117, 288, 797
The greatest common divisor of numbers 900, 117, 288, 797 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 117, 288, 797 is 1.

1. What is the GCD of 900, 117, 288, 797?

GCD of given numbers 900, 117, 288, 797 is 1

2. How to calculate the greatest common divisor of 900, 117, 288, 797?

We can find the highest common divisor of 900, 117, 288, 797 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, 117, 288, 797 i.e 1.

3. How can I use the GCD of 900, 117, 288, 797Calculator?

Out the numbers 900, 117, 288, 797 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.