GCD of 814, 220, 310 Calculator

Given Input numbers are 814, 220, 310

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

GCD of numbers is the greatest common divisor

So, the GCD (814, 220, 310) = 2.

Given numbers are 814, 220, 310

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 310 are 2 x 5 x 31

The highest common occurrence is 2¹

Therefore, GCD of 814, 220, 310 is 2.

Given numbers are 814, 220, 310

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

Apply this formula for all numbers.

Step1:

LCM(814, 220) = 8140

GCD(814, 220) = ( 814 x 220 ) / 8140

= 814 / 220

= 814

Step2:

LCM(22, 310) = 3410

GCD(22, 310) = ( 22 x 310 ) / 3410

= 22 / 310

= 22

So, Greatest Common Divisor of 814, 220, 310 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 499, 777, 279
• GCD of 425, 377, 683
• GCD of 317, 648, 281
• GCD of 404, 424, 897
• GCD of 870, 779, 401

Given numbers are 814, 220, 310
The greatest common divisor of numbers 814, 220, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 220, 310 is 2.

1. What is the GCD of 814, 220, 310?

GCD of given numbers 814, 220, 310 is 2

2. How to calculate the greatest common divisor of 814, 220, 310?

We can find the highest common divisor of 814, 220, 310 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 814, 220, 310 i.e 2.

3. How can I use the GCD of 814, 220, 310Calculator?

Out the numbers 814, 220, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.