GCD of 720, 576, 452, 964 Calculator

Given Input numbers are 720, 576, 452, 964

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

GCD of numbers is the greatest common divisor

So, the GCD (720, 576, 452, 964) = 4.

Given numbers are 720, 576, 452, 964

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 452 are 2 x 2 x 113

Prime factors of 964 are 2 x 2 x 241

The highest common occurrence is 2²

Therefore, GCD of 720, 576, 452, 964 is 4.

Given numbers are 720, 576, 452, 964

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

Apply this formula for all numbers.

Step1:

LCM(720, 576) = 2880

GCD(720, 576) = ( 720 x 576 ) / 2880

= 720 / 576

= 720

Step2:

LCM(144, 452) = 16272

GCD(144, 452) = ( 144 x 452 ) / 16272

= 144 / 452

= 144

Step3:

LCM(4, 964) = 964

GCD(4, 964) = ( 4 x 964 ) / 964

= 4 / 964

= 4

So, Greatest Common Divisor of 720, 576, 452, 964 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 835, 631, 498
• GCD of 804, 201, 615, 986
• GCD of 479, 360, 216, 617
• GCD of 587, 812, 954, 853
• GCD of 809, 345, 566, 581

Given numbers are 720, 576, 452, 964
The greatest common divisor of numbers 720, 576, 452, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 576, 452, 964 is 4.

1. What is the GCD of 720, 576, 452, 964?

GCD of given numbers 720, 576, 452, 964 is 4

2. How to calculate the greatest common divisor of 720, 576, 452, 964?

We can find the highest common divisor of 720, 576, 452, 964 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 720, 576, 452, 964 i.e 4.

3. How can I use the GCD of 720, 576, 452, 964Calculator?

Out the numbers 720, 576, 452, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.