GCD of 222, 178, 392, 360 Calculator

Given Input numbers are 222, 178, 392, 360

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 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (222, 178, 392, 360) = 2.

Given numbers are 222, 178, 392, 360

The list of prime factors of all numbers are

Prime factors of 222 are 2 x 3 x 37

Prime factors of 178 are 2 x 89

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 222, 178, 392, 360 is 2.

Given numbers are 222, 178, 392, 360

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

Apply this formula for all numbers.

Step1:

LCM(222, 178) = 19758

GCD(222, 178) = ( 222 x 178 ) / 19758

= 222 / 178

= 222

Step2:

LCM(2, 392) = 392

GCD(2, 392) = ( 2 x 392 ) / 392

= 2 / 392

= 2

Step3:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

So, Greatest Common Divisor of 222, 178, 392, 360 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 956, 180, 541
• GCD of 636, 480, 281, 776
• GCD of 134, 941, 486, 453
• GCD of 615, 883, 399, 567
• GCD of 887, 654, 181, 264

Given numbers are 222, 178, 392, 360
The greatest common divisor of numbers 222, 178, 392, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 222, 178, 392, 360 is 2.

1. What is the GCD of 222, 178, 392, 360?

GCD of given numbers 222, 178, 392, 360 is 2

2. How to calculate the greatest common divisor of 222, 178, 392, 360?

We can find the highest common divisor of 222, 178, 392, 360 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, 178, 392, 360 i.e 2.

3. How can I use the GCD of 222, 178, 392, 360Calculator?

Out the numbers 222, 178, 392, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.