GCD of 144, 418, 150, 862 Calculator

Given Input numbers are 144, 418, 150, 862

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 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

GCD of numbers is the greatest common divisor

So, the GCD (144, 418, 150, 862) = 2.

Given numbers are 144, 418, 150, 862

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 418 are 2 x 11 x 19

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 862 are 2 x 431

The highest common occurrence is 2¹

Therefore, GCD of 144, 418, 150, 862 is 2.

Given numbers are 144, 418, 150, 862

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

Apply this formula for all numbers.

Step1:

LCM(144, 418) = 30096

GCD(144, 418) = ( 144 x 418 ) / 30096

= 144 / 418

= 144

Step2:

LCM(2, 150) = 150

GCD(2, 150) = ( 2 x 150 ) / 150

= 2 / 150

= 2

Step3:

LCM(2, 862) = 862

GCD(2, 862) = ( 2 x 862 ) / 862

= 2 / 862

= 2

So, Greatest Common Divisor of 144, 418, 150, 862 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 265, 127, 276
• GCD of 658, 641, 768, 361
• GCD of 263, 331, 829, 470
• GCD of 200, 721, 845, 465
• GCD of 187, 898, 416, 704

Given numbers are 144, 418, 150, 862
The greatest common divisor of numbers 144, 418, 150, 862 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 418, 150, 862 is 2.

1. What is the GCD of 144, 418, 150, 862?

GCD of given numbers 144, 418, 150, 862 is 2

2. How to calculate the greatest common divisor of 144, 418, 150, 862?

We can find the highest common divisor of 144, 418, 150, 862 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, 418, 150, 862 i.e 2.

3. How can I use the GCD of 144, 418, 150, 862Calculator?

Out the numbers 144, 418, 150, 862 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.