GCD of 321, 456, 588 Calculator

Given Input numbers are 321, 456, 588

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

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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 (321, 456, 588) = 3.

Given numbers are 321, 456, 588

The list of prime factors of all numbers are

Prime factors of 321 are 3 x 107

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

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

The highest common occurrence is 3¹

Therefore, GCD of 321, 456, 588 is 3.

Given numbers are 321, 456, 588

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

Apply this formula for all numbers.

Step1:

LCM(321, 456) = 48792

GCD(321, 456) = ( 321 x 456 ) / 48792

= 321 / 456

= 321

Step2:

LCM(3, 588) = 588

GCD(3, 588) = ( 3 x 588 ) / 588

= 3 / 588

= 3

So, Greatest Common Divisor of 321, 456, 588 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 851, 135, 344
• GCD of 799, 718, 355
• GCD of 401, 670, 264
• GCD of 617, 125, 160
• GCD of 573, 969, 465

Given numbers are 321, 456, 588
The greatest common divisor of numbers 321, 456, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 456, 588 is 3.

1. What is the GCD of 321, 456, 588?

GCD of given numbers 321, 456, 588 is 3

2. How to calculate the greatest common divisor of 321, 456, 588?

We can find the highest common divisor of 321, 456, 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 321, 456, 588 i.e 3.

3. How can I use the GCD of 321, 456, 588Calculator?

Out the numbers 321, 456, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.