GCD of 918, 736, 480, 108 Calculator

Given Input numbers are 918, 736, 480, 108

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 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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

GCD of numbers is the greatest common divisor

So, the GCD (918, 736, 480, 108) = 2.

Given numbers are 918, 736, 480, 108

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 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 918, 736, 480, 108 is 2.

Given numbers are 918, 736, 480, 108

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

Apply this formula for all numbers.

Step1:

LCM(918, 736) = 337824

GCD(918, 736) = ( 918 x 736 ) / 337824

= 918 / 736

= 918

Step2:

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

= 2 / 480

= 2

Step3:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

So, Greatest Common Divisor of 918, 736, 480, 108 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 160, 781, 420
• GCD of 441, 240, 701, 266
• GCD of 442, 185, 302, 159
• GCD of 748, 757, 127, 671
• GCD of 767, 658, 584, 380

Given numbers are 918, 736, 480, 108
The greatest common divisor of numbers 918, 736, 480, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 736, 480, 108 is 2.

1. What is the GCD of 918, 736, 480, 108?

GCD of given numbers 918, 736, 480, 108 is 2

2. How to calculate the greatest common divisor of 918, 736, 480, 108?

We can find the highest common divisor of 918, 736, 480, 108 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, 736, 480, 108 i.e 2.

3. How can I use the GCD of 918, 736, 480, 108Calculator?

Out the numbers 918, 736, 480, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.