GCD of 333, 109, 900, 145 Calculator

Given Input numbers are 333, 109, 900, 145

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

Divisors of 333 :

The positive integer divisors of 333 that completely divides 333 are.

1, 3, 9, 37, 111, 333

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

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 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

GCD of numbers is the greatest common divisor

So, the GCD (333, 109, 900, 145) = 1.

Given numbers are 333, 109, 900, 145

The list of prime factors of all numbers are

Prime factors of 333 are 3 x 3 x 37

Prime factors of 109 are 109

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

Prime factors of 145 are 5 x 29

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

Given numbers are 333, 109, 900, 145

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

Apply this formula for all numbers.

Step1:

LCM(333, 109) = 36297

GCD(333, 109) = ( 333 x 109 ) / 36297

= 333 / 109

= 333

Step2:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

Step3:

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

= 1 / 145

= 1

So, Greatest Common Divisor of 333, 109, 900, 145 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 307, 989, 656, 709
• GCD of 954, 671, 147, 777
• GCD of 173, 901, 318, 491
• GCD of 790, 464, 656, 546
• GCD of 162, 245, 388, 538

Given numbers are 333, 109, 900, 145
The greatest common divisor of numbers 333, 109, 900, 145 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 333, 109, 900, 145 is 1.

1. What is the GCD of 333, 109, 900, 145?

GCD of given numbers 333, 109, 900, 145 is 1

2. How to calculate the greatest common divisor of 333, 109, 900, 145?

We can find the highest common divisor of 333, 109, 900, 145 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 333, 109, 900, 145 i.e 1.

3. How can I use the GCD of 333, 109, 900, 145Calculator?

Out the numbers 333, 109, 900, 145 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.