GCD of 150, 381, 345, 909 Calculator

Given Input numbers are 150, 381, 345, 909

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

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

GCD of numbers is the greatest common divisor

So, the GCD (150, 381, 345, 909) = 3.

Given numbers are 150, 381, 345, 909

The list of prime factors of all numbers are

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 381 are 3 x 127

Prime factors of 345 are 3 x 5 x 23

Prime factors of 909 are 3 x 3 x 101

The highest common occurrence is 3¹

Therefore, GCD of 150, 381, 345, 909 is 3.

Given numbers are 150, 381, 345, 909

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

Apply this formula for all numbers.

Step1:

LCM(150, 381) = 19050

GCD(150, 381) = ( 150 x 381 ) / 19050

= 150 / 381

= 150

Step2:

LCM(3, 345) = 345

GCD(3, 345) = ( 3 x 345 ) / 345

= 3 / 345

= 3

Step3:

LCM(3, 909) = 909

GCD(3, 909) = ( 3 x 909 ) / 909

= 3 / 909

= 3

So, Greatest Common Divisor of 150, 381, 345, 909 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 833, 143, 551, 476
• GCD of 870, 788, 839, 616
• GCD of 915, 631, 510, 470
• GCD of 248, 904, 761, 686
• GCD of 611, 168, 191, 753

Given numbers are 150, 381, 345, 909
The greatest common divisor of numbers 150, 381, 345, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 381, 345, 909 is 3.

1. What is the GCD of 150, 381, 345, 909?

GCD of given numbers 150, 381, 345, 909 is 3

2. How to calculate the greatest common divisor of 150, 381, 345, 909?

We can find the highest common divisor of 150, 381, 345, 909 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 150, 381, 345, 909 i.e 3.

3. How can I use the GCD of 150, 381, 345, 909Calculator?

Out the numbers 150, 381, 345, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.