GCD of 110, 312, 20 Calculator

Given Input numbers are 110, 312, 20

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

Divisors of 110 :

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

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

GCD of numbers is the greatest common divisor

So, the GCD (110, 312, 20) = 2.

Given numbers are 110, 312, 20

The list of prime factors of all numbers are

Prime factors of 110 are 2 x 5 x 11

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 20 are 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 110, 312, 20 is 2.

Given numbers are 110, 312, 20

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

Apply this formula for all numbers.

Step1:

LCM(110, 312) = 17160

GCD(110, 312) = ( 110 x 312 ) / 17160

= 110 / 312

= 110

Step2:

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

= 2 / 20

= 2

So, Greatest Common Divisor of 110, 312, 20 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 216, 334, 78
• GCD of 429, 165, 29
• GCD of 206, 339, 68
• GCD of 155, 813, 71
• GCD of 598, 538, 49

Given numbers are 110, 312, 20
The greatest common divisor of numbers 110, 312, 20 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 110, 312, 20 is 2.

1. What is the GCD of 110, 312, 20?

GCD of given numbers 110, 312, 20 is 2

2. How to calculate the greatest common divisor of 110, 312, 20?

We can find the highest common divisor of 110, 312, 20 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 110, 312, 20 i.e 2.

3. How can I use the GCD of 110, 312, 20Calculator?

Out the numbers 110, 312, 20 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.