GCD of 716, 966, 588, 312 Calculator

Given Input numbers are 716, 966, 588, 312

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

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (716, 966, 588, 312) = 2.

Given numbers are 716, 966, 588, 312

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

Prime factors of 966 are 2 x 3 x 7 x 23

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

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 716, 966, 588, 312 is 2.

Given numbers are 716, 966, 588, 312

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

Apply this formula for all numbers.

Step1:

LCM(716, 966) = 345828

GCD(716, 966) = ( 716 x 966 ) / 345828

= 716 / 966

= 716

Step2:

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

= 2 / 588

= 2

Step3:

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

= 2 / 312

= 2

So, Greatest Common Divisor of 716, 966, 588, 312 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 865, 384, 382, 886
• GCD of 432, 477, 317, 891
• GCD of 538, 853, 993, 303
• GCD of 147, 497, 466, 852
• GCD of 192, 260, 619, 604

Given numbers are 716, 966, 588, 312
The greatest common divisor of numbers 716, 966, 588, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 966, 588, 312 is 2.

1. What is the GCD of 716, 966, 588, 312?

GCD of given numbers 716, 966, 588, 312 is 2

2. How to calculate the greatest common divisor of 716, 966, 588, 312?

We can find the highest common divisor of 716, 966, 588, 312 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 716, 966, 588, 312 i.e 2.

3. How can I use the GCD of 716, 966, 588, 312Calculator?

Out the numbers 716, 966, 588, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.