GCD of 404, 100, 382 Calculator

Given Input numbers are 404, 100, 382

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

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

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 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

GCD of numbers is the greatest common divisor

So, the GCD (404, 100, 382) = 2.

Given numbers are 404, 100, 382

The list of prime factors of all numbers are

Prime factors of 404 are 2 x 2 x 101

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

Prime factors of 382 are 2 x 191

The highest common occurrence is 2¹

Therefore, GCD of 404, 100, 382 is 2.

Given numbers are 404, 100, 382

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

Apply this formula for all numbers.

Step1:

LCM(404, 100) = 10100

GCD(404, 100) = ( 404 x 100 ) / 10100

= 404 / 100

= 404

Step2:

LCM(4, 382) = 764

GCD(4, 382) = ( 4 x 382 ) / 764

= 4 / 382

= 4

So, Greatest Common Divisor of 404, 100, 382 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 294, 391, 496
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• GCD of 150, 638, 719
• GCD of 661, 505, 155
• GCD of 269, 412, 138

Given numbers are 404, 100, 382
The greatest common divisor of numbers 404, 100, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 404, 100, 382 is 2.

1. What is the GCD of 404, 100, 382?

GCD of given numbers 404, 100, 382 is 2

2. How to calculate the greatest common divisor of 404, 100, 382?

We can find the highest common divisor of 404, 100, 382 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 404, 100, 382 i.e 2.

3. How can I use the GCD of 404, 100, 382Calculator?

Out the numbers 404, 100, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.