GCD of 900, 125, 105, 973 Calculator

Given Input numbers are 900, 125, 105, 973

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 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973

GCD of numbers is the greatest common divisor

So, the GCD (900, 125, 105, 973) = 1.

Given numbers are 900, 125, 105, 973

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 125 are 5 x 5 x 5

Prime factors of 105 are 3 x 5 x 7

Prime factors of 973 are 7 x 139

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

Given numbers are 900, 125, 105, 973

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

Apply this formula for all numbers.

Step1:

LCM(900, 125) = 4500

GCD(900, 125) = ( 900 x 125 ) / 4500

= 900 / 125

= 900

Step2:

LCM(25, 105) = 525

GCD(25, 105) = ( 25 x 105 ) / 525

= 25 / 105

= 25

Step3:

LCM(5, 973) = 4865

GCD(5, 973) = ( 5 x 973 ) / 4865

= 5 / 973

= 5

So, Greatest Common Divisor of 900, 125, 105, 973 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 808, 720, 506, 936
• GCD of 490, 214, 565, 155
• GCD of 228, 941, 512, 251
• GCD of 283, 417, 445, 954
• GCD of 928, 354, 706, 436

Given numbers are 900, 125, 105, 973
The greatest common divisor of numbers 900, 125, 105, 973 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 125, 105, 973 is 1.

1. What is the GCD of 900, 125, 105, 973?

GCD of given numbers 900, 125, 105, 973 is 1

2. How to calculate the greatest common divisor of 900, 125, 105, 973?

We can find the highest common divisor of 900, 125, 105, 973 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, 125, 105, 973 i.e 1.

3. How can I use the GCD of 900, 125, 105, 973Calculator?

Out the numbers 900, 125, 105, 973 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.