GCD of 144, 362, 222, 122 Calculator

Given Input numbers are 144, 362, 222, 122

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

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 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 222 :

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

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

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

GCD of numbers is the greatest common divisor

So, the GCD (144, 362, 222, 122) = 2.

Given numbers are 144, 362, 222, 122

The list of prime factors of all numbers are

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

Prime factors of 362 are 2 x 181

Prime factors of 222 are 2 x 3 x 37

Prime factors of 122 are 2 x 61

The highest common occurrence is 2¹

Therefore, GCD of 144, 362, 222, 122 is 2.

Given numbers are 144, 362, 222, 122

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

Apply this formula for all numbers.

Step1:

LCM(144, 362) = 26064

GCD(144, 362) = ( 144 x 362 ) / 26064

= 144 / 362

= 144

Step2:

LCM(2, 222) = 222

GCD(2, 222) = ( 2 x 222 ) / 222

= 2 / 222

= 2

Step3:

LCM(2, 122) = 122

GCD(2, 122) = ( 2 x 122 ) / 122

= 2 / 122

= 2

So, Greatest Common Divisor of 144, 362, 222, 122 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 473, 934, 638, 950
• GCD of 895, 249, 533, 727
• GCD of 932, 720, 232, 656
• GCD of 403, 653, 391, 214
• GCD of 125, 149, 196, 182

Given numbers are 144, 362, 222, 122
The greatest common divisor of numbers 144, 362, 222, 122 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 362, 222, 122 is 2.

1. What is the GCD of 144, 362, 222, 122?

GCD of given numbers 144, 362, 222, 122 is 2

2. How to calculate the greatest common divisor of 144, 362, 222, 122?

We can find the highest common divisor of 144, 362, 222, 122 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 144, 362, 222, 122 i.e 2.

3. How can I use the GCD of 144, 362, 222, 122Calculator?

Out the numbers 144, 362, 222, 122 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.