GCD of 516, 172, 572, 964 Calculator

Given Input numbers are 516, 172, 572, 964

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 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

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 (516, 172, 572, 964) = 4.

Given numbers are 516, 172, 572, 964

The list of prime factors of all numbers are

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

Prime factors of 172 are 2 x 2 x 43

Prime factors of 572 are 2 x 2 x 11 x 13

Prime factors of 964 are 2 x 2 x 241

The highest common occurrence is 2²

Therefore, GCD of 516, 172, 572, 964 is 4.

Given numbers are 516, 172, 572, 964

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

Apply this formula for all numbers.

Step1:

LCM(516, 172) = 516

GCD(516, 172) = ( 516 x 172 ) / 516

= 516 / 172

= 516

Step2:

LCM(172, 572) = 24596

GCD(172, 572) = ( 172 x 572 ) / 24596

= 172 / 572

= 172

Step3:

LCM(4, 964) = 964

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

= 4 / 964

= 4

So, Greatest Common Divisor of 516, 172, 572, 964 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 928, 591, 519
• GCD of 464, 825, 260, 129
• GCD of 358, 398, 773, 832
• GCD of 722, 658, 840, 687
• GCD of 649, 361, 624, 898

Given numbers are 516, 172, 572, 964
The greatest common divisor of numbers 516, 172, 572, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 172, 572, 964 is 4.

1. What is the GCD of 516, 172, 572, 964?

GCD of given numbers 516, 172, 572, 964 is 4

2. How to calculate the greatest common divisor of 516, 172, 572, 964?

We can find the highest common divisor of 516, 172, 572, 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 516, 172, 572, 964 i.e 4.

3. How can I use the GCD of 516, 172, 572, 964Calculator?

Out the numbers 516, 172, 572, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.