GCD of 596, 708, 738, 516 Calculator

Given Input numbers are 596, 708, 738, 516

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

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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

GCD of numbers is the greatest common divisor

So, the GCD (596, 708, 738, 516) = 2.

Given numbers are 596, 708, 738, 516

The list of prime factors of all numbers are

Prime factors of 596 are 2 x 2 x 149

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 738 are 2 x 3 x 3 x 41

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

The highest common occurrence is 2¹

Therefore, GCD of 596, 708, 738, 516 is 2.

Given numbers are 596, 708, 738, 516

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

Apply this formula for all numbers.

Step1:

LCM(596, 708) = 105492

GCD(596, 708) = ( 596 x 708 ) / 105492

= 596 / 708

= 596

Step2:

LCM(4, 738) = 1476

GCD(4, 738) = ( 4 x 738 ) / 1476

= 4 / 738

= 4

Step3:

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

= 2 / 516

= 2

So, Greatest Common Divisor of 596, 708, 738, 516 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 606, 458, 746, 274
• GCD of 300, 775, 454, 872
• GCD of 835, 120, 433, 717
• GCD of 715, 648, 196, 904
• GCD of 939, 314, 793, 351

Given numbers are 596, 708, 738, 516
The greatest common divisor of numbers 596, 708, 738, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 596, 708, 738, 516 is 2.

1. What is the GCD of 596, 708, 738, 516?

GCD of given numbers 596, 708, 738, 516 is 2

2. How to calculate the greatest common divisor of 596, 708, 738, 516?

We can find the highest common divisor of 596, 708, 738, 516 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 596, 708, 738, 516 i.e 2.

3. How can I use the GCD of 596, 708, 738, 516Calculator?

Out the numbers 596, 708, 738, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.