GCD of 408, 944, 654, 108 Calculator

Given Input numbers are 408, 944, 654, 108

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 944 :

The positive integer divisors of 944 that completely divides 944 are.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

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 (408, 944, 654, 108) = 2.

Given numbers are 408, 944, 654, 108

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 944 are 2 x 2 x 2 x 2 x 59

Prime factors of 654 are 2 x 3 x 109

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

The highest common occurrence is 2¹

Therefore, GCD of 408, 944, 654, 108 is 2.

Given numbers are 408, 944, 654, 108

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

Apply this formula for all numbers.

Step1:

LCM(408, 944) = 48144

GCD(408, 944) = ( 408 x 944 ) / 48144

= 408 / 944

= 408

Step2:

LCM(8, 654) = 2616

GCD(8, 654) = ( 8 x 654 ) / 2616

= 8 / 654

= 8

Step3:

LCM(2, 108) = 108

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

= 2 / 108

= 2

So, Greatest Common Divisor of 408, 944, 654, 108 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 816, 202, 356
• GCD of 300, 835, 407, 176
• GCD of 398, 220, 541, 818
• GCD of 577, 116, 639, 727
• GCD of 341, 642, 642, 371

Given numbers are 408, 944, 654, 108
The greatest common divisor of numbers 408, 944, 654, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 944, 654, 108 is 2.

1. What is the GCD of 408, 944, 654, 108?

GCD of given numbers 408, 944, 654, 108 is 2

2. How to calculate the greatest common divisor of 408, 944, 654, 108?

We can find the highest common divisor of 408, 944, 654, 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 408, 944, 654, 108 i.e 2.

3. How can I use the GCD of 408, 944, 654, 108Calculator?

Out the numbers 408, 944, 654, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.