GCD of 918, 390, 474 Calculator

Given Input numbers are 918, 390, 474

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 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

GCD of numbers is the greatest common divisor

So, the GCD (918, 390, 474) = 6.

Given numbers are 918, 390, 474

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 390 are 2 x 3 x 5 x 13

Prime factors of 474 are 2 x 3 x 79

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 918, 390, 474 is 6.

Given numbers are 918, 390, 474

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

Apply this formula for all numbers.

Step1:

LCM(918, 390) = 59670

GCD(918, 390) = ( 918 x 390 ) / 59670

= 918 / 390

= 918

Step2:

LCM(6, 474) = 474

GCD(6, 474) = ( 6 x 474 ) / 474

= 6 / 474

= 6

So, Greatest Common Divisor of 918, 390, 474 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 886, 908, 867
• GCD of 327, 798, 588
• GCD of 935, 232, 276
• GCD of 270, 623, 213
• GCD of 835, 928, 534

Given numbers are 918, 390, 474
The greatest common divisor of numbers 918, 390, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 390, 474 is 6.

1. What is the GCD of 918, 390, 474?

GCD of given numbers 918, 390, 474 is 6

2. How to calculate the greatest common divisor of 918, 390, 474?

We can find the highest common divisor of 918, 390, 474 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, 390, 474 i.e 6.

3. How can I use the GCD of 918, 390, 474Calculator?

Out the numbers 918, 390, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.