GCD of 100, 108, 894, 468 Calculator

Given Input numbers are 100, 108, 894, 468

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

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 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

GCD of numbers is the greatest common divisor

So, the GCD (100, 108, 894, 468) = 2.

Given numbers are 100, 108, 894, 468

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

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

Prime factors of 894 are 2 x 3 x 149

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 100, 108, 894, 468 is 2.

Given numbers are 100, 108, 894, 468

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

Apply this formula for all numbers.

Step1:

LCM(100, 108) = 2700

GCD(100, 108) = ( 100 x 108 ) / 2700

= 100 / 108

= 100

Step2:

LCM(4, 894) = 1788

GCD(4, 894) = ( 4 x 894 ) / 1788

= 4 / 894

= 4

Step3:

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

= 2 / 468

= 2

So, Greatest Common Divisor of 100, 108, 894, 468 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 190, 188, 279
• GCD of 707, 932, 932, 835
• GCD of 773, 857, 897, 916
• GCD of 816, 899, 900, 226
• GCD of 175, 220, 834, 807

Given numbers are 100, 108, 894, 468
The greatest common divisor of numbers 100, 108, 894, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 108, 894, 468 is 2.

1. What is the GCD of 100, 108, 894, 468?

GCD of given numbers 100, 108, 894, 468 is 2

2. How to calculate the greatest common divisor of 100, 108, 894, 468?

We can find the highest common divisor of 100, 108, 894, 468 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 100, 108, 894, 468 i.e 2.

3. How can I use the GCD of 100, 108, 894, 468Calculator?

Out the numbers 100, 108, 894, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.