GCD of 724, 324, 516, 120 Calculator

Given Input numbers are 724, 324, 516, 120

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

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

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

GCD of numbers is the greatest common divisor

So, the GCD (724, 324, 516, 120) = 4.

Given numbers are 724, 324, 516, 120

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

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

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

The highest common occurrence is 2²

Therefore, GCD of 724, 324, 516, 120 is 4.

Given numbers are 724, 324, 516, 120

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

Apply this formula for all numbers.

Step1:

LCM(724, 324) = 58644

GCD(724, 324) = ( 724 x 324 ) / 58644

= 724 / 324

= 724

Step2:

LCM(4, 516) = 516

GCD(4, 516) = ( 4 x 516 ) / 516

= 4 / 516

= 4

Step3:

LCM(4, 120) = 120

GCD(4, 120) = ( 4 x 120 ) / 120

= 4 / 120

= 4

So, Greatest Common Divisor of 724, 324, 516, 120 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 820, 505, 461, 530
• GCD of 544, 219, 594, 424
• GCD of 323, 837, 514, 437
• GCD of 955, 954, 528, 562
• GCD of 348, 539, 229, 345

Given numbers are 724, 324, 516, 120
The greatest common divisor of numbers 724, 324, 516, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 324, 516, 120 is 4.

1. What is the GCD of 724, 324, 516, 120?

GCD of given numbers 724, 324, 516, 120 is 4

2. How to calculate the greatest common divisor of 724, 324, 516, 120?

We can find the highest common divisor of 724, 324, 516, 120 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 724, 324, 516, 120 i.e 4.

3. How can I use the GCD of 724, 324, 516, 120Calculator?

Out the numbers 724, 324, 516, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.