GCD of 100, 538, 638 Calculator

Given Input numbers are 100, 538, 638

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 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

GCD of numbers is the greatest common divisor

So, the GCD (100, 538, 638) = 2.

Given numbers are 100, 538, 638

The list of prime factors of all numbers are

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

Prime factors of 538 are 2 x 269

Prime factors of 638 are 2 x 11 x 29

The highest common occurrence is 2¹

Therefore, GCD of 100, 538, 638 is 2.

Given numbers are 100, 538, 638

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

Apply this formula for all numbers.

Step1:

LCM(100, 538) = 26900

GCD(100, 538) = ( 100 x 538 ) / 26900

= 100 / 538

= 100

Step2:

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

= 2 / 638

= 2

So, Greatest Common Divisor of 100, 538, 638 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 196, 306, 952
• GCD of 272, 345, 295
• GCD of 417, 344, 820
• GCD of 375, 602, 137
• GCD of 497, 560, 720

Given numbers are 100, 538, 638
The greatest common divisor of numbers 100, 538, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 538, 638 is 2.

1. What is the GCD of 100, 538, 638?

GCD of given numbers 100, 538, 638 is 2

2. How to calculate the greatest common divisor of 100, 538, 638?

We can find the highest common divisor of 100, 538, 638 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, 538, 638 i.e 2.

3. How can I use the GCD of 100, 538, 638Calculator?

Out the numbers 100, 538, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.