GCD of 909, 162, 522, 312 Calculator

Given Input numbers are 909, 162, 522, 312

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

Divisors of 909 :

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

1, 3, 9, 101, 303, 909

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

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 (909, 162, 522, 312) = 3.

Given numbers are 909, 162, 522, 312

The list of prime factors of all numbers are

Prime factors of 909 are 3 x 3 x 101

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 522 are 2 x 3 x 3 x 29

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

The highest common occurrence is 3¹

Therefore, GCD of 909, 162, 522, 312 is 3.

Given numbers are 909, 162, 522, 312

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

Apply this formula for all numbers.

Step1:

LCM(909, 162) = 16362

GCD(909, 162) = ( 909 x 162 ) / 16362

= 909 / 162

= 909

Step2:

LCM(9, 522) = 522

GCD(9, 522) = ( 9 x 522 ) / 522

= 9 / 522

= 9

Step3:

LCM(9, 312) = 936

GCD(9, 312) = ( 9 x 312 ) / 936

= 9 / 312

= 9

So, Greatest Common Divisor of 909, 162, 522, 312 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 164, 659, 512, 946
• GCD of 520, 343, 709, 490
• GCD of 343, 128, 874, 172
• GCD of 650, 812, 925, 675
• GCD of 687, 484, 959, 473

Given numbers are 909, 162, 522, 312
The greatest common divisor of numbers 909, 162, 522, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 909, 162, 522, 312 is 3.

1. What is the GCD of 909, 162, 522, 312?

GCD of given numbers 909, 162, 522, 312 is 3

2. How to calculate the greatest common divisor of 909, 162, 522, 312?

We can find the highest common divisor of 909, 162, 522, 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 909, 162, 522, 312 i.e 3.

3. How can I use the GCD of 909, 162, 522, 312Calculator?

Out the numbers 909, 162, 522, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.