GCD of 584, 916, 108 Calculator

Given Input numbers are 584, 916, 108

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

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

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 (584, 916, 108) = 4.

Given numbers are 584, 916, 108

The list of prime factors of all numbers are

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 916 are 2 x 2 x 229

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

The highest common occurrence is 2²

Therefore, GCD of 584, 916, 108 is 4.

Given numbers are 584, 916, 108

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

Apply this formula for all numbers.

Step1:

LCM(584, 916) = 133736

GCD(584, 916) = ( 584 x 916 ) / 133736

= 584 / 916

= 584

Step2:

LCM(4, 108) = 108

GCD(4, 108) = ( 4 x 108 ) / 108

= 4 / 108

= 4

So, Greatest Common Divisor of 584, 916, 108 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 557, 456, 706
• GCD of 917, 686, 613
• GCD of 256, 677, 622
• GCD of 343, 341, 595
• GCD of 987, 527, 518

Given numbers are 584, 916, 108
The greatest common divisor of numbers 584, 916, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 916, 108 is 4.

1. What is the GCD of 584, 916, 108?

GCD of given numbers 584, 916, 108 is 4

2. How to calculate the greatest common divisor of 584, 916, 108?

We can find the highest common divisor of 584, 916, 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 584, 916, 108 i.e 4.

3. How can I use the GCD of 584, 916, 108Calculator?

Out the numbers 584, 916, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.