GCD of 723, 990, 369, 550 Calculator

Given Input numbers are 723, 990, 369, 550

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

Divisors of 723 :

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

1, 3, 241, 723

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

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

GCD of numbers is the greatest common divisor

So, the GCD (723, 990, 369, 550) = 1.

Given numbers are 723, 990, 369, 550

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 369 are 3 x 3 x 41

Prime factors of 550 are 2 x 5 x 5 x 11

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

Given numbers are 723, 990, 369, 550

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

Apply this formula for all numbers.

Step1:

LCM(723, 990) = 238590

GCD(723, 990) = ( 723 x 990 ) / 238590

= 723 / 990

= 723

Step2:

LCM(3, 369) = 369

GCD(3, 369) = ( 3 x 369 ) / 369

= 3 / 369

= 3

Step3:

LCM(3, 550) = 1650

GCD(3, 550) = ( 3 x 550 ) / 1650

= 3 / 550

= 3

So, Greatest Common Divisor of 723, 990, 369, 550 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 320, 296, 590
• GCD of 587, 408, 703, 431
• GCD of 917, 136, 439, 490
• GCD of 113, 331, 753, 306
• GCD of 172, 349, 198, 313

Given numbers are 723, 990, 369, 550
The greatest common divisor of numbers 723, 990, 369, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 990, 369, 550 is 1.

1. What is the GCD of 723, 990, 369, 550?

GCD of given numbers 723, 990, 369, 550 is 1

2. How to calculate the greatest common divisor of 723, 990, 369, 550?

We can find the highest common divisor of 723, 990, 369, 550 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 723, 990, 369, 550 i.e 1.

3. How can I use the GCD of 723, 990, 369, 550Calculator?

Out the numbers 723, 990, 369, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.