GCD of 144, 827, 378, 427 Calculator

Given Input numbers are 144, 827, 378, 427

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 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

GCD of numbers is the greatest common divisor

So, the GCD (144, 827, 378, 427) = 1.

Given numbers are 144, 827, 378, 427

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 827 are 827

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 427 are 7 x 61

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 144, 827, 378, 427

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

Apply this formula for all numbers.

Step1:

LCM(144, 827) = 119088

GCD(144, 827) = ( 144 x 827 ) / 119088

= 144 / 827

= 144

Step2:

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

= 1 / 378

= 1

Step3:

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

= 1 / 427

= 1

So, Greatest Common Divisor of 144, 827, 378, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 315, 845, 426, 813
• GCD of 312, 253, 285, 453
• GCD of 635, 726, 471, 434
• GCD of 419, 341, 301, 551
• GCD of 675, 719, 606, 649

Given numbers are 144, 827, 378, 427
The greatest common divisor of numbers 144, 827, 378, 427 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 827, 378, 427 is 1.

1. What is the GCD of 144, 827, 378, 427?

GCD of given numbers 144, 827, 378, 427 is 1

2. How to calculate the greatest common divisor of 144, 827, 378, 427?

We can find the highest common divisor of 144, 827, 378, 427 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, 827, 378, 427 i.e 1.

3. How can I use the GCD of 144, 827, 378, 427Calculator?

Out the numbers 144, 827, 378, 427 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.