GCD of 453, 264, 306, 300 Calculator

Given Input numbers are 453, 264, 306, 300

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

Divisors of 453 :

The positive integer divisors of 453 that completely divides 453 are.

1, 3, 151, 453

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (453, 264, 306, 300) = 3.

Given numbers are 453, 264, 306, 300

The list of prime factors of all numbers are

Prime factors of 453 are 3 x 151

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 453, 264, 306, 300 is 3.

Given numbers are 453, 264, 306, 300

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

Apply this formula for all numbers.

Step1:

LCM(453, 264) = 39864

GCD(453, 264) = ( 453 x 264 ) / 39864

= 453 / 264

= 453

Step2:

LCM(3, 306) = 306

GCD(3, 306) = ( 3 x 306 ) / 306

= 3 / 306

= 3

Step3:

LCM(3, 300) = 300

GCD(3, 300) = ( 3 x 300 ) / 300

= 3 / 300

= 3

So, Greatest Common Divisor of 453, 264, 306, 300 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 250, 593, 903, 206
• GCD of 214, 238, 834, 448
• GCD of 473, 495, 502, 950
• GCD of 692, 227, 387, 515
• GCD of 491, 226, 905, 606

Given numbers are 453, 264, 306, 300
The greatest common divisor of numbers 453, 264, 306, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 453, 264, 306, 300 is 3.

1. What is the GCD of 453, 264, 306, 300?

GCD of given numbers 453, 264, 306, 300 is 3

2. How to calculate the greatest common divisor of 453, 264, 306, 300?

We can find the highest common divisor of 453, 264, 306, 300 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 453, 264, 306, 300 i.e 3.

3. How can I use the GCD of 453, 264, 306, 300Calculator?

Out the numbers 453, 264, 306, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.