GCD of 588, 702, 58, 516 Calculator

Given Input numbers are 588, 702, 58, 516

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

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 58 :

The positive integer divisors of 58 that completely divides 58 are.

1, 2, 29, 58

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 (588, 702, 58, 516) = 2.

Given numbers are 588, 702, 58, 516

The list of prime factors of all numbers are

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 58 are 2 x 29

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

The highest common occurrence is 2¹

Therefore, GCD of 588, 702, 58, 516 is 2.

Given numbers are 588, 702, 58, 516

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

Apply this formula for all numbers.

Step1:

LCM(588, 702) = 68796

GCD(588, 702) = ( 588 x 702 ) / 68796

= 588 / 702

= 588

Step2:

LCM(6, 58) = 174

GCD(6, 58) = ( 6 x 58 ) / 174

= 6 / 58

= 6

Step3:

LCM(2, 516) = 516

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

= 2 / 516

= 2

So, Greatest Common Divisor of 588, 702, 58, 516 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 358, 314, 47, 715
• GCD of 132, 813, 77, 495
• GCD of 706, 254, 81, 431
• GCD of 559, 485, 36, 449
• GCD of 965, 484, 36, 770

Given numbers are 588, 702, 58, 516
The greatest common divisor of numbers 588, 702, 58, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 702, 58, 516 is 2.

1. What is the GCD of 588, 702, 58, 516?

GCD of given numbers 588, 702, 58, 516 is 2

2. How to calculate the greatest common divisor of 588, 702, 58, 516?

We can find the highest common divisor of 588, 702, 58, 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 588, 702, 58, 516 i.e 2.

3. How can I use the GCD of 588, 702, 58, 516Calculator?

Out the numbers 588, 702, 58, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.