GCD of 753, 675, 324, 333 Calculator

Given Input numbers are 753, 675, 324, 333

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

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 333 :

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

1, 3, 9, 37, 111, 333

GCD of numbers is the greatest common divisor

So, the GCD (753, 675, 324, 333) = 3.

Given numbers are 753, 675, 324, 333

The list of prime factors of all numbers are

Prime factors of 753 are 3 x 251

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 333 are 3 x 3 x 37

The highest common occurrence is 3¹

Therefore, GCD of 753, 675, 324, 333 is 3.

Given numbers are 753, 675, 324, 333

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

Apply this formula for all numbers.

Step1:

LCM(753, 675) = 169425

GCD(753, 675) = ( 753 x 675 ) / 169425

= 753 / 675

= 753

Step2:

LCM(3, 324) = 324

GCD(3, 324) = ( 3 x 324 ) / 324

= 3 / 324

= 3

Step3:

LCM(3, 333) = 333

GCD(3, 333) = ( 3 x 333 ) / 333

= 3 / 333

= 3

So, Greatest Common Divisor of 753, 675, 324, 333 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 109, 225, 710, 898
• GCD of 968, 418, 699, 816
• GCD of 338, 547, 778, 181
• GCD of 251, 208, 302, 648
• GCD of 700, 210, 184, 836

Given numbers are 753, 675, 324, 333
The greatest common divisor of numbers 753, 675, 324, 333 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 675, 324, 333 is 3.

1. What is the GCD of 753, 675, 324, 333?

GCD of given numbers 753, 675, 324, 333 is 3

2. How to calculate the greatest common divisor of 753, 675, 324, 333?

We can find the highest common divisor of 753, 675, 324, 333 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 753, 675, 324, 333 i.e 3.

3. How can I use the GCD of 753, 675, 324, 333Calculator?

Out the numbers 753, 675, 324, 333 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.