GCD of 586, 696, 828, 996 Calculator

Given Input numbers are 586, 696, 828, 996

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

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

GCD of numbers is the greatest common divisor

So, the GCD (586, 696, 828, 996) = 2.

Given numbers are 586, 696, 828, 996

The list of prime factors of all numbers are

Prime factors of 586 are 2 x 293

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 996 are 2 x 2 x 3 x 83

The highest common occurrence is 2¹

Therefore, GCD of 586, 696, 828, 996 is 2.

Given numbers are 586, 696, 828, 996

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

Apply this formula for all numbers.

Step1:

LCM(586, 696) = 203928

GCD(586, 696) = ( 586 x 696 ) / 203928

= 586 / 696

= 586

Step2:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

Step3:

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

= 2 / 996

= 2

So, Greatest Common Divisor of 586, 696, 828, 996 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 153, 960, 426, 417
• GCD of 140, 942, 686, 764
• GCD of 356, 196, 773, 681
• GCD of 754, 584, 112, 947
• GCD of 520, 468, 261, 378

Given numbers are 586, 696, 828, 996
The greatest common divisor of numbers 586, 696, 828, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 586, 696, 828, 996 is 2.

1. What is the GCD of 586, 696, 828, 996?

GCD of given numbers 586, 696, 828, 996 is 2

2. How to calculate the greatest common divisor of 586, 696, 828, 996?

We can find the highest common divisor of 586, 696, 828, 996 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 586, 696, 828, 996 i.e 2.

3. How can I use the GCD of 586, 696, 828, 996Calculator?

Out the numbers 586, 696, 828, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.