GCD of 500, 792, 386, 110 Calculator

Given Input numbers are 500, 792, 386, 110

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 386 :

The positive integer divisors of 386 that completely divides 386 are.

1, 2, 193, 386

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

GCD of numbers is the greatest common divisor

So, the GCD (500, 792, 386, 110) = 2.

Given numbers are 500, 792, 386, 110

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 386 are 2 x 193

Prime factors of 110 are 2 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 500, 792, 386, 110 is 2.

Given numbers are 500, 792, 386, 110

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

Apply this formula for all numbers.

Step1:

LCM(500, 792) = 99000

GCD(500, 792) = ( 500 x 792 ) / 99000

= 500 / 792

= 500

Step2:

LCM(4, 386) = 772

GCD(4, 386) = ( 4 x 386 ) / 772

= 4 / 386

= 4

Step3:

LCM(2, 110) = 110

GCD(2, 110) = ( 2 x 110 ) / 110

= 2 / 110

= 2

So, Greatest Common Divisor of 500, 792, 386, 110 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 308, 533, 554, 164
• GCD of 354, 641, 427, 543
• GCD of 995, 681, 831, 433
• GCD of 970, 985, 232, 336
• GCD of 611, 487, 528, 240

Given numbers are 500, 792, 386, 110
The greatest common divisor of numbers 500, 792, 386, 110 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 792, 386, 110 is 2.

1. What is the GCD of 500, 792, 386, 110?

GCD of given numbers 500, 792, 386, 110 is 2

2. How to calculate the greatest common divisor of 500, 792, 386, 110?

We can find the highest common divisor of 500, 792, 386, 110 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 500, 792, 386, 110 i.e 2.

3. How can I use the GCD of 500, 792, 386, 110Calculator?

Out the numbers 500, 792, 386, 110 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.