GCD of 144, 550, 485, 723 Calculator

Given Input numbers are 144, 550, 485, 723

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 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 485 :

The positive integer divisors of 485 that completely divides 485 are.

1, 5, 97, 485

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

GCD of numbers is the greatest common divisor

So, the GCD (144, 550, 485, 723) = 1.

Given numbers are 144, 550, 485, 723

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 550 are 2 x 5 x 5 x 11

Prime factors of 485 are 5 x 97

Prime factors of 723 are 3 x 241

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

Given numbers are 144, 550, 485, 723

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

Apply this formula for all numbers.

Step1:

LCM(144, 550) = 39600

GCD(144, 550) = ( 144 x 550 ) / 39600

= 144 / 550

= 144

Step2:

LCM(2, 485) = 970

GCD(2, 485) = ( 2 x 485 ) / 970

= 2 / 485

= 2

Step3:

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

= 1 / 723

= 1

So, Greatest Common Divisor of 144, 550, 485, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 539, 765, 812, 352
• GCD of 695, 862, 260, 984
• GCD of 281, 206, 648, 565
• GCD of 201, 126, 736, 280
• GCD of 888, 511, 867, 524

Given numbers are 144, 550, 485, 723
The greatest common divisor of numbers 144, 550, 485, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 550, 485, 723 is 1.

1. What is the GCD of 144, 550, 485, 723?

GCD of given numbers 144, 550, 485, 723 is 1

2. How to calculate the greatest common divisor of 144, 550, 485, 723?

We can find the highest common divisor of 144, 550, 485, 723 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, 550, 485, 723 i.e 1.

3. How can I use the GCD of 144, 550, 485, 723Calculator?

Out the numbers 144, 550, 485, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.