GCD of 918, 468, 218, 825 Calculator

Given Input numbers are 918, 468, 218, 825

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 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (918, 468, 218, 825) = 1.

Given numbers are 918, 468, 218, 825

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 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 218 are 2 x 109

Prime factors of 825 are 3 x 5 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 918, 468, 218, 825

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

Apply this formula for all numbers.

Step1:

LCM(918, 468) = 23868

GCD(918, 468) = ( 918 x 468 ) / 23868

= 918 / 468

= 918

Step2:

LCM(18, 218) = 1962

GCD(18, 218) = ( 18 x 218 ) / 1962

= 18 / 218

= 18

Step3:

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

= 2 / 825

= 2

So, Greatest Common Divisor of 918, 468, 218, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 918, 247, 531
• GCD of 363, 818, 580, 680
• GCD of 321, 516, 814, 513
• GCD of 183, 102, 462, 793
• GCD of 583, 810, 609, 356

Given numbers are 918, 468, 218, 825
The greatest common divisor of numbers 918, 468, 218, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 468, 218, 825 is 1.

1. What is the GCD of 918, 468, 218, 825?

GCD of given numbers 918, 468, 218, 825 is 1

2. How to calculate the greatest common divisor of 918, 468, 218, 825?

We can find the highest common divisor of 918, 468, 218, 825 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, 468, 218, 825 i.e 1.

3. How can I use the GCD of 918, 468, 218, 825Calculator?

Out the numbers 918, 468, 218, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.