GCD of 918, 300, 68 Calculator

Given Input numbers are 918, 300, 68

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 68 :

The positive integer divisors of 68 that completely divides 68 are.

1, 2, 4, 17, 34, 68

GCD of numbers is the greatest common divisor

So, the GCD (918, 300, 68) = 2.

Given numbers are 918, 300, 68

The list of prime factors of all numbers are

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 68 are 2 x 2 x 17

The highest common occurrence is 2¹

Therefore, GCD of 918, 300, 68 is 2.

Given numbers are 918, 300, 68

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

Apply this formula for all numbers.

Step1:

LCM(918, 300) = 45900

GCD(918, 300) = ( 918 x 300 ) / 45900

= 918 / 300

= 918

Step2:

LCM(6, 68) = 204

GCD(6, 68) = ( 6 x 68 ) / 204

= 6 / 68

= 6

So, Greatest Common Divisor of 918, 300, 68 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 554, 857, 88
• GCD of 729, 344, 93
• GCD of 347, 462, 26
• GCD of 536, 114, 67
• GCD of 197, 380, 68

Given numbers are 918, 300, 68
The greatest common divisor of numbers 918, 300, 68 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 300, 68 is 2.

1. What is the GCD of 918, 300, 68?

GCD of given numbers 918, 300, 68 is 2

2. How to calculate the greatest common divisor of 918, 300, 68?

We can find the highest common divisor of 918, 300, 68 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 918, 300, 68 i.e 2.

3. How can I use the GCD of 918, 300, 68Calculator?

Out the numbers 918, 300, 68 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.