GCD of 120, 723, 405, 516 Calculator

Given Input numbers are 120, 723, 405, 516

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 723 :

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

1, 3, 241, 723

Divisors of 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

GCD of numbers is the greatest common divisor

So, the GCD (120, 723, 405, 516) = 3.

Given numbers are 120, 723, 405, 516

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 723 are 3 x 241

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

Prime factors of 516 are 2 x 2 x 3 x 43

The highest common occurrence is 3¹

Therefore, GCD of 120, 723, 405, 516 is 3.

Given numbers are 120, 723, 405, 516

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

Apply this formula for all numbers.

Step1:

LCM(120, 723) = 28920

GCD(120, 723) = ( 120 x 723 ) / 28920

= 120 / 723

= 120

Step2:

LCM(3, 405) = 405

GCD(3, 405) = ( 3 x 405 ) / 405

= 3 / 405

= 3

Step3:

LCM(3, 516) = 516

GCD(3, 516) = ( 3 x 516 ) / 516

= 3 / 516

= 3

So, Greatest Common Divisor of 120, 723, 405, 516 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 465, 488, 168, 943
• GCD of 422, 780, 628, 477
• GCD of 998, 694, 316, 388
• GCD of 346, 719, 583, 337
• GCD of 844, 393, 516, 995

Given numbers are 120, 723, 405, 516
The greatest common divisor of numbers 120, 723, 405, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 723, 405, 516 is 3.

1. What is the GCD of 120, 723, 405, 516?

GCD of given numbers 120, 723, 405, 516 is 3

2. How to calculate the greatest common divisor of 120, 723, 405, 516?

We can find the highest common divisor of 120, 723, 405, 516 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 120, 723, 405, 516 i.e 3.

3. How can I use the GCD of 120, 723, 405, 516Calculator?

Out the numbers 120, 723, 405, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.