GCD of 318, 687, 813 Calculator

Given Input numbers are 318, 687, 813

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

GCD of numbers is the greatest common divisor

So, the GCD (318, 687, 813) = 3.

Given numbers are 318, 687, 813

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 687 are 3 x 229

Prime factors of 813 are 3 x 271

The highest common occurrence is 3¹

Therefore, GCD of 318, 687, 813 is 3.

Given numbers are 318, 687, 813

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

Apply this formula for all numbers.

Step1:

LCM(318, 687) = 72822

GCD(318, 687) = ( 318 x 687 ) / 72822

= 318 / 687

= 318

Step2:

LCM(3, 813) = 813

GCD(3, 813) = ( 3 x 813 ) / 813

= 3 / 813

= 3

So, Greatest Common Divisor of 318, 687, 813 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 118, 422, 576
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Given numbers are 318, 687, 813
The greatest common divisor of numbers 318, 687, 813 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 687, 813 is 3.

1. What is the GCD of 318, 687, 813?

GCD of given numbers 318, 687, 813 is 3

2. How to calculate the greatest common divisor of 318, 687, 813?

We can find the highest common divisor of 318, 687, 813 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 318, 687, 813 i.e 3.

3. How can I use the GCD of 318, 687, 813Calculator?

Out the numbers 318, 687, 813 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.