GCD of 100, 438, 872 Calculator

Given Input numbers are 100, 438, 872

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 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

GCD of numbers is the greatest common divisor

So, the GCD (100, 438, 872) = 2.

Given numbers are 100, 438, 872

The list of prime factors of all numbers are

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

Prime factors of 438 are 2 x 3 x 73

Prime factors of 872 are 2 x 2 x 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 100, 438, 872 is 2.

Given numbers are 100, 438, 872

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

Apply this formula for all numbers.

Step1:

LCM(100, 438) = 21900

GCD(100, 438) = ( 100 x 438 ) / 21900

= 100 / 438

= 100

Step2:

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

= 2 / 872

= 2

So, Greatest Common Divisor of 100, 438, 872 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 241, 426
• GCD of 656, 778, 732
• GCD of 809, 374, 950
• GCD of 428, 617, 595
• GCD of 823, 682, 752

Given numbers are 100, 438, 872
The greatest common divisor of numbers 100, 438, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 438, 872 is 2.

1. What is the GCD of 100, 438, 872?

GCD of given numbers 100, 438, 872 is 2

2. How to calculate the greatest common divisor of 100, 438, 872?

We can find the highest common divisor of 100, 438, 872 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, 438, 872 i.e 2.

3. How can I use the GCD of 100, 438, 872Calculator?

Out the numbers 100, 438, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.