GCD of 108, 222, 664, 896 Calculator

Given Input numbers are 108, 222, 664, 896

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

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 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

GCD of numbers is the greatest common divisor

So, the GCD (108, 222, 664, 896) = 2.

Given numbers are 108, 222, 664, 896

The list of prime factors of all numbers are

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

Prime factors of 222 are 2 x 3 x 37

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 108, 222, 664, 896 is 2.

Given numbers are 108, 222, 664, 896

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

Apply this formula for all numbers.

Step1:

LCM(108, 222) = 3996

GCD(108, 222) = ( 108 x 222 ) / 3996

= 108 / 222

= 108

Step2:

LCM(6, 664) = 1992

GCD(6, 664) = ( 6 x 664 ) / 1992

= 6 / 664

= 6

Step3:

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

= 2 / 896

= 2

So, Greatest Common Divisor of 108, 222, 664, 896 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 926, 551, 401, 215
• GCD of 895, 893, 137, 902
• GCD of 352, 196, 973, 751
• GCD of 769, 177, 183, 572
• GCD of 125, 555, 332, 488

Given numbers are 108, 222, 664, 896
The greatest common divisor of numbers 108, 222, 664, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 222, 664, 896 is 2.

1. What is the GCD of 108, 222, 664, 896?

GCD of given numbers 108, 222, 664, 896 is 2

2. How to calculate the greatest common divisor of 108, 222, 664, 896?

We can find the highest common divisor of 108, 222, 664, 896 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 108, 222, 664, 896 i.e 2.

3. How can I use the GCD of 108, 222, 664, 896Calculator?

Out the numbers 108, 222, 664, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.