GCD of 144, 366, 411, 387 Calculator

Given Input numbers are 144, 366, 411, 387

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 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 411 :

The positive integer divisors of 411 that completely divides 411 are.

1, 3, 137, 411

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

GCD of numbers is the greatest common divisor

So, the GCD (144, 366, 411, 387) = 3.

Given numbers are 144, 366, 411, 387

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 366 are 2 x 3 x 61

Prime factors of 411 are 3 x 137

Prime factors of 387 are 3 x 3 x 43

The highest common occurrence is 3¹

Therefore, GCD of 144, 366, 411, 387 is 3.

Given numbers are 144, 366, 411, 387

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

Apply this formula for all numbers.

Step1:

LCM(144, 366) = 8784

GCD(144, 366) = ( 144 x 366 ) / 8784

= 144 / 366

= 144

Step2:

LCM(6, 411) = 822

GCD(6, 411) = ( 6 x 411 ) / 822

= 6 / 411

= 6

Step3:

LCM(3, 387) = 387

GCD(3, 387) = ( 3 x 387 ) / 387

= 3 / 387

= 3

So, Greatest Common Divisor of 144, 366, 411, 387 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 410, 748, 608, 323
• GCD of 460, 114, 512, 314
• GCD of 943, 438, 316, 260
• GCD of 973, 137, 385, 528
• GCD of 427, 768, 961, 207

Given numbers are 144, 366, 411, 387
The greatest common divisor of numbers 144, 366, 411, 387 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 366, 411, 387 is 3.

1. What is the GCD of 144, 366, 411, 387?

GCD of given numbers 144, 366, 411, 387 is 3

2. How to calculate the greatest common divisor of 144, 366, 411, 387?

We can find the highest common divisor of 144, 366, 411, 387 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, 366, 411, 387 i.e 3.

3. How can I use the GCD of 144, 366, 411, 387Calculator?

Out the numbers 144, 366, 411, 387 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.