GCD of 505, 185, 427, 144 Calculator

Given Input numbers are 505, 185, 427, 144

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

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 185 :

The positive integer divisors of 185 that completely divides 185 are.

1, 5, 37, 185

Divisors of 427 :

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

1, 7, 61, 427

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

GCD of numbers is the greatest common divisor

So, the GCD (505, 185, 427, 144) = 1.

Given numbers are 505, 185, 427, 144

The list of prime factors of all numbers are

Prime factors of 505 are 5 x 101

Prime factors of 185 are 5 x 37

Prime factors of 427 are 7 x 61

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

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

Given numbers are 505, 185, 427, 144

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

Apply this formula for all numbers.

Step1:

LCM(505, 185) = 18685

GCD(505, 185) = ( 505 x 185 ) / 18685

= 505 / 185

= 505

Step2:

LCM(5, 427) = 2135

GCD(5, 427) = ( 5 x 427 ) / 2135

= 5 / 427

= 5

Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

So, Greatest Common Divisor of 505, 185, 427, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 992, 109, 879, 694
• GCD of 419, 595, 319, 764
• GCD of 250, 214, 332, 349
• GCD of 362, 135, 423, 795
• GCD of 919, 453, 330, 294

Given numbers are 505, 185, 427, 144
The greatest common divisor of numbers 505, 185, 427, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 185, 427, 144 is 1.

1. What is the GCD of 505, 185, 427, 144?

GCD of given numbers 505, 185, 427, 144 is 1

2. How to calculate the greatest common divisor of 505, 185, 427, 144?

We can find the highest common divisor of 505, 185, 427, 144 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 505, 185, 427, 144 i.e 1.

3. How can I use the GCD of 505, 185, 427, 144Calculator?

Out the numbers 505, 185, 427, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.