GCD of 144, 850, 394, 422 Calculator

Given Input numbers are 144, 850, 394, 422

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 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (144, 850, 394, 422) = 2.

Given numbers are 144, 850, 394, 422

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 850 are 2 x 5 x 5 x 17

Prime factors of 394 are 2 x 197

Prime factors of 422 are 2 x 211

The highest common occurrence is 2¹

Therefore, GCD of 144, 850, 394, 422 is 2.

Given numbers are 144, 850, 394, 422

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

Apply this formula for all numbers.

Step1:

LCM(144, 850) = 61200

GCD(144, 850) = ( 144 x 850 ) / 61200

= 144 / 850

= 144

Step2:

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

= 2 / 394

= 2

Step3:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2

So, Greatest Common Divisor of 144, 850, 394, 422 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 890, 186, 868, 206
• GCD of 974, 759, 384, 108
• GCD of 156, 515, 591, 981
• GCD of 187, 732, 777, 308
• GCD of 833, 101, 716, 489

Given numbers are 144, 850, 394, 422
The greatest common divisor of numbers 144, 850, 394, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 850, 394, 422 is 2.

1. What is the GCD of 144, 850, 394, 422?

GCD of given numbers 144, 850, 394, 422 is 2

2. How to calculate the greatest common divisor of 144, 850, 394, 422?

We can find the highest common divisor of 144, 850, 394, 422 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, 850, 394, 422 i.e 2.

3. How can I use the GCD of 144, 850, 394, 422Calculator?

Out the numbers 144, 850, 394, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.