GCD of 828, 313, 492, 588 Calculator

Given Input numbers are 828, 313, 492, 588

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

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 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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

GCD of numbers is the greatest common divisor

So, the GCD (828, 313, 492, 588) = 1.

Given numbers are 828, 313, 492, 588

The list of prime factors of all numbers are

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

Prime factors of 313 are 313

Prime factors of 492 are 2 x 2 x 3 x 41

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 828, 313, 492, 588

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

Apply this formula for all numbers.

Step1:

LCM(828, 313) = 259164

GCD(828, 313) = ( 828 x 313 ) / 259164

= 828 / 313

= 828

Step2:

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

= 1 / 492

= 1

Step3:

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

= 1 / 588

= 1

So, Greatest Common Divisor of 828, 313, 492, 588 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 708, 276, 147, 361
• GCD of 780, 501, 492, 657
• GCD of 678, 350, 448, 322
• GCD of 228, 762, 727, 241
• GCD of 648, 835, 515, 610

Given numbers are 828, 313, 492, 588
The greatest common divisor of numbers 828, 313, 492, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 313, 492, 588 is 1.

1. What is the GCD of 828, 313, 492, 588?

GCD of given numbers 828, 313, 492, 588 is 1

2. How to calculate the greatest common divisor of 828, 313, 492, 588?

We can find the highest common divisor of 828, 313, 492, 588 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 828, 313, 492, 588 i.e 1.

3. How can I use the GCD of 828, 313, 492, 588Calculator?

Out the numbers 828, 313, 492, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.