GCD of 324, 442, 830, 676 Calculator

Given Input numbers are 324, 442, 830, 676

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

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (324, 442, 830, 676) = 2.

Given numbers are 324, 442, 830, 676

The list of prime factors of all numbers are

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 442 are 2 x 13 x 17

Prime factors of 830 are 2 x 5 x 83

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 324, 442, 830, 676 is 2.

Given numbers are 324, 442, 830, 676

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

Apply this formula for all numbers.

Step1:

LCM(324, 442) = 71604

GCD(324, 442) = ( 324 x 442 ) / 71604

= 324 / 442

= 324

Step2:

LCM(2, 830) = 830

GCD(2, 830) = ( 2 x 830 ) / 830

= 2 / 830

= 2

Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 324, 442, 830, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 155, 999, 703
• GCD of 753, 797, 256, 752
• GCD of 320, 507, 218, 607
• GCD of 290, 493, 531, 921
• GCD of 180, 772, 542, 329

Given numbers are 324, 442, 830, 676
The greatest common divisor of numbers 324, 442, 830, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 442, 830, 676 is 2.

1. What is the GCD of 324, 442, 830, 676?

GCD of given numbers 324, 442, 830, 676 is 2

2. How to calculate the greatest common divisor of 324, 442, 830, 676?

We can find the highest common divisor of 324, 442, 830, 676 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 324, 442, 830, 676 i.e 2.

3. How can I use the GCD of 324, 442, 830, 676Calculator?

Out the numbers 324, 442, 830, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.