GCD of 909, 756, 504 Calculator

Given Input numbers are 909, 756, 504

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 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (909, 756, 504) = 9.

Given numbers are 909, 756, 504

The list of prime factors of all numbers are

Prime factors of 909 are 3 x 3 x 101

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

The highest common occurrence is 3²

Therefore, GCD of 909, 756, 504 is 9.

Given numbers are 909, 756, 504

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

Apply this formula for all numbers.

Step1:

LCM(909, 756) = 76356

GCD(909, 756) = ( 909 x 756 ) / 76356

= 909 / 756

= 909

Step2:

LCM(9, 504) = 504

GCD(9, 504) = ( 9 x 504 ) / 504

= 9 / 504

= 9

So, Greatest Common Divisor of 909, 756, 504 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 137, 866, 394
• GCD of 777, 959, 820
• GCD of 424, 983, 322
• GCD of 868, 711, 691
• GCD of 375, 878, 895

Given numbers are 909, 756, 504
The greatest common divisor of numbers 909, 756, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 909, 756, 504 is 9.

1. What is the GCD of 909, 756, 504?

GCD of given numbers 909, 756, 504 is 9

2. How to calculate the greatest common divisor of 909, 756, 504?

We can find the highest common divisor of 909, 756, 504 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, 756, 504 i.e 9.

3. How can I use the GCD of 909, 756, 504Calculator?

Out the numbers 909, 756, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.