GCD of 591, 516, 726, 564 Calculator

Given Input numbers are 591, 516, 726, 564

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

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

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 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (591, 516, 726, 564) = 3.

Given numbers are 591, 516, 726, 564

The list of prime factors of all numbers are

Prime factors of 591 are 3 x 197

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

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 591, 516, 726, 564 is 3.

Given numbers are 591, 516, 726, 564

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

Apply this formula for all numbers.

Step1:

LCM(591, 516) = 101652

GCD(591, 516) = ( 591 x 516 ) / 101652

= 591 / 516

= 591

Step2:

LCM(3, 726) = 726

GCD(3, 726) = ( 3 x 726 ) / 726

= 3 / 726

= 3

Step3:

LCM(3, 564) = 564

GCD(3, 564) = ( 3 x 564 ) / 564

= 3 / 564

= 3

So, Greatest Common Divisor of 591, 516, 726, 564 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 823, 170, 467, 680
• GCD of 315, 313, 607, 451
• GCD of 484, 925, 400, 570
• GCD of 564, 190, 871, 489
• GCD of 214, 322, 166, 285

Given numbers are 591, 516, 726, 564
The greatest common divisor of numbers 591, 516, 726, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 591, 516, 726, 564 is 3.

1. What is the GCD of 591, 516, 726, 564?

GCD of given numbers 591, 516, 726, 564 is 3

2. How to calculate the greatest common divisor of 591, 516, 726, 564?

We can find the highest common divisor of 591, 516, 726, 564 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 591, 516, 726, 564 i.e 3.

3. How can I use the GCD of 591, 516, 726, 564Calculator?

Out the numbers 591, 516, 726, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.