GCD of 516, 264, 960, 452 Calculator

Given Input numbers are 516, 264, 960, 452

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

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 452 :

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

1, 2, 4, 113, 226, 452

GCD of numbers is the greatest common divisor

So, the GCD (516, 264, 960, 452) = 4.

Given numbers are 516, 264, 960, 452

The list of prime factors of all numbers are

Prime factors of 516 are 2 x 2 x 3 x 43

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

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 452 are 2 x 2 x 113

The highest common occurrence is 2²

Therefore, GCD of 516, 264, 960, 452 is 4.

Given numbers are 516, 264, 960, 452

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

Apply this formula for all numbers.

Step1:

LCM(516, 264) = 11352

GCD(516, 264) = ( 516 x 264 ) / 11352

= 516 / 264

= 516

Step2:

LCM(12, 960) = 960

GCD(12, 960) = ( 12 x 960 ) / 960

= 12 / 960

= 12

Step3:

LCM(12, 452) = 1356

GCD(12, 452) = ( 12 x 452 ) / 1356

= 12 / 452

= 12

So, Greatest Common Divisor of 516, 264, 960, 452 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 303, 717, 343, 157
• GCD of 104, 317, 721, 387
• GCD of 339, 144, 625, 476
• GCD of 739, 751, 635, 718
• GCD of 878, 205, 552, 338

Given numbers are 516, 264, 960, 452
The greatest common divisor of numbers 516, 264, 960, 452 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 264, 960, 452 is 4.

1. What is the GCD of 516, 264, 960, 452?

GCD of given numbers 516, 264, 960, 452 is 4

2. How to calculate the greatest common divisor of 516, 264, 960, 452?

We can find the highest common divisor of 516, 264, 960, 452 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 516, 264, 960, 452 i.e 4.

3. How can I use the GCD of 516, 264, 960, 452Calculator?

Out the numbers 516, 264, 960, 452 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.