GCD of 918, 108, 694, 468 Calculator

Given Input numbers are 918, 108, 694, 468

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 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

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

GCD of numbers is the greatest common divisor

So, the GCD (918, 108, 694, 468) = 2.

Given numbers are 918, 108, 694, 468

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 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 694 are 2 x 347

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 918, 108, 694, 468 is 2.

Given numbers are 918, 108, 694, 468

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

Apply this formula for all numbers.

Step1:

LCM(918, 108) = 1836

GCD(918, 108) = ( 918 x 108 ) / 1836

= 918 / 108

= 918

Step2:

LCM(54, 694) = 18738

GCD(54, 694) = ( 54 x 694 ) / 18738

= 54 / 694

= 54

Step3:

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

= 2 / 468

= 2

So, Greatest Common Divisor of 918, 108, 694, 468 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 379, 912, 679
• GCD of 366, 530, 772, 416
• GCD of 377, 653, 298, 914
• GCD of 796, 574, 392, 273
• GCD of 919, 551, 168, 977

Given numbers are 918, 108, 694, 468
The greatest common divisor of numbers 918, 108, 694, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 108, 694, 468 is 2.

1. What is the GCD of 918, 108, 694, 468?

GCD of given numbers 918, 108, 694, 468 is 2

2. How to calculate the greatest common divisor of 918, 108, 694, 468?

We can find the highest common divisor of 918, 108, 694, 468 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, 108, 694, 468 i.e 2.

3. How can I use the GCD of 918, 108, 694, 468Calculator?

Out the numbers 918, 108, 694, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.