GCD of 984, 420, 556, 108 Calculator

Given Input numbers are 984, 420, 556, 108

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

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 (984, 420, 556, 108) = 4.

Given numbers are 984, 420, 556, 108

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 556 are 2 x 2 x 139

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

The highest common occurrence is 2²

Therefore, GCD of 984, 420, 556, 108 is 4.

Given numbers are 984, 420, 556, 108

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

Apply this formula for all numbers.

Step1:

LCM(984, 420) = 34440

GCD(984, 420) = ( 984 x 420 ) / 34440

= 984 / 420

= 984

Step2:

LCM(12, 556) = 1668

GCD(12, 556) = ( 12 x 556 ) / 1668

= 12 / 556

= 12

Step3:

LCM(4, 108) = 108

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

= 4 / 108

= 4

So, Greatest Common Divisor of 984, 420, 556, 108 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 212, 575, 116, 672
• GCD of 708, 465, 278, 887
• GCD of 313, 968, 236, 691
• GCD of 412, 654, 571, 371
• GCD of 334, 494, 396, 718

Given numbers are 984, 420, 556, 108
The greatest common divisor of numbers 984, 420, 556, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 420, 556, 108 is 4.

1. What is the GCD of 984, 420, 556, 108?

GCD of given numbers 984, 420, 556, 108 is 4

2. How to calculate the greatest common divisor of 984, 420, 556, 108?

We can find the highest common divisor of 984, 420, 556, 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 984, 420, 556, 108 i.e 4.

3. How can I use the GCD of 984, 420, 556, 108Calculator?

Out the numbers 984, 420, 556, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.