GCD of 516, 112, 368, 120 Calculator

Given Input numbers are 516, 112, 368, 120

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

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 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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 (516, 112, 368, 120) = 4.

Given numbers are 516, 112, 368, 120

The list of prime factors of all numbers are

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

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

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

The highest common occurrence is 2²

Therefore, GCD of 516, 112, 368, 120 is 4.

Given numbers are 516, 112, 368, 120

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

Apply this formula for all numbers.

Step1:

LCM(516, 112) = 14448

GCD(516, 112) = ( 516 x 112 ) / 14448

= 516 / 112

= 516

Step2:

LCM(4, 368) = 368

GCD(4, 368) = ( 4 x 368 ) / 368

= 4 / 368

= 4

Step3:

LCM(4, 120) = 120

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

= 4 / 120

= 4

So, Greatest Common Divisor of 516, 112, 368, 120 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 903, 122, 311, 508
• GCD of 252, 441, 326, 720
• GCD of 362, 318, 116, 435
• GCD of 443, 366, 556, 228
• GCD of 668, 531, 707, 518

Given numbers are 516, 112, 368, 120
The greatest common divisor of numbers 516, 112, 368, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 112, 368, 120 is 4.

1. What is the GCD of 516, 112, 368, 120?

GCD of given numbers 516, 112, 368, 120 is 4

2. How to calculate the greatest common divisor of 516, 112, 368, 120?

We can find the highest common divisor of 516, 112, 368, 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 516, 112, 368, 120 i.e 4.

3. How can I use the GCD of 516, 112, 368, 120Calculator?

Out the numbers 516, 112, 368, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.