GCD of 222, 648, 182, 378 Calculator

Given Input numbers are 222, 648, 182, 378

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

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (222, 648, 182, 378) = 2.

Given numbers are 222, 648, 182, 378

The list of prime factors of all numbers are

Prime factors of 222 are 2 x 3 x 37

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 182 are 2 x 7 x 13

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 222, 648, 182, 378 is 2.

Given numbers are 222, 648, 182, 378

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

Apply this formula for all numbers.

Step1:

LCM(222, 648) = 23976

GCD(222, 648) = ( 222 x 648 ) / 23976

= 222 / 648

= 222

Step2:

LCM(6, 182) = 546

GCD(6, 182) = ( 6 x 182 ) / 546

= 6 / 182

= 6

Step3:

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

= 2 / 378

= 2

So, Greatest Common Divisor of 222, 648, 182, 378 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 286, 303, 475
• GCD of 818, 772, 449, 269
• GCD of 279, 953, 214, 523
• GCD of 732, 828, 203, 469
• GCD of 943, 110, 656, 666

Given numbers are 222, 648, 182, 378
The greatest common divisor of numbers 222, 648, 182, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 222, 648, 182, 378 is 2.

1. What is the GCD of 222, 648, 182, 378?

GCD of given numbers 222, 648, 182, 378 is 2

2. How to calculate the greatest common divisor of 222, 648, 182, 378?

We can find the highest common divisor of 222, 648, 182, 378 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 222, 648, 182, 378 i.e 2.

3. How can I use the GCD of 222, 648, 182, 378Calculator?

Out the numbers 222, 648, 182, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.