GCD of 588, 448, 82, 696 Calculator

Given Input numbers are 588, 448, 82, 696

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 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 82 :

The positive integer divisors of 82 that completely divides 82 are.

1, 2, 41, 82

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

GCD of numbers is the greatest common divisor

So, the GCD (588, 448, 82, 696) = 2.

Given numbers are 588, 448, 82, 696

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 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 82 are 2 x 41

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

The highest common occurrence is 2¹

Therefore, GCD of 588, 448, 82, 696 is 2.

Given numbers are 588, 448, 82, 696

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

Apply this formula for all numbers.

Step1:

LCM(588, 448) = 9408

GCD(588, 448) = ( 588 x 448 ) / 9408

= 588 / 448

= 588

Step2:

LCM(28, 82) = 1148

GCD(28, 82) = ( 28 x 82 ) / 1148

= 28 / 82

= 28

Step3:

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

= 2 / 696

= 2

So, Greatest Common Divisor of 588, 448, 82, 696 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 822, 666, 80, 795
• GCD of 583, 580, 55, 443
• GCD of 743, 877, 20, 910
• GCD of 914, 480, 34, 435
• GCD of 574, 991, 23, 714

Given numbers are 588, 448, 82, 696
The greatest common divisor of numbers 588, 448, 82, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 448, 82, 696 is 2.

1. What is the GCD of 588, 448, 82, 696?

GCD of given numbers 588, 448, 82, 696 is 2

2. How to calculate the greatest common divisor of 588, 448, 82, 696?

We can find the highest common divisor of 588, 448, 82, 696 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, 448, 82, 696 i.e 2.

3. How can I use the GCD of 588, 448, 82, 696Calculator?

Out the numbers 588, 448, 82, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.