GCD of 882, 144, 438, 324 Calculator

Given Input numbers are 882, 144, 438, 324

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

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

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

GCD of numbers is the greatest common divisor

So, the GCD (882, 144, 438, 324) = 6.

Given numbers are 882, 144, 438, 324

The list of prime factors of all numbers are

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 438 are 2 x 3 x 73

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 882, 144, 438, 324 is 6.

Given numbers are 882, 144, 438, 324

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

Apply this formula for all numbers.

Step1:

LCM(882, 144) = 7056

GCD(882, 144) = ( 882 x 144 ) / 7056

= 882 / 144

= 882

Step2:

LCM(18, 438) = 1314

GCD(18, 438) = ( 18 x 438 ) / 1314

= 18 / 438

= 18

Step3:

LCM(6, 324) = 324

GCD(6, 324) = ( 6 x 324 ) / 324

= 6 / 324

= 6

So, Greatest Common Divisor of 882, 144, 438, 324 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 759, 494, 145, 161
• GCD of 584, 734, 781, 817
• GCD of 502, 990, 852, 540
• GCD of 145, 501, 795, 790
• GCD of 774, 462, 518, 880

Given numbers are 882, 144, 438, 324
The greatest common divisor of numbers 882, 144, 438, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 144, 438, 324 is 6.

1. What is the GCD of 882, 144, 438, 324?

GCD of given numbers 882, 144, 438, 324 is 6

2. How to calculate the greatest common divisor of 882, 144, 438, 324?

We can find the highest common divisor of 882, 144, 438, 324 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 882, 144, 438, 324 i.e 6.

3. How can I use the GCD of 882, 144, 438, 324Calculator?

Out the numbers 882, 144, 438, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.