GCD of 100, 466, 324 Calculator

Given Input numbers are 100, 466, 324

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 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

GCD of numbers is the greatest common divisor

So, the GCD (100, 466, 324) = 2.

Given numbers are 100, 466, 324

The list of prime factors of all numbers are

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

Prime factors of 466 are 2 x 233

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 100, 466, 324 is 2.

Given numbers are 100, 466, 324

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

Apply this formula for all numbers.

Step1:

LCM(100, 466) = 23300

GCD(100, 466) = ( 100 x 466 ) / 23300

= 100 / 466

= 100

Step2:

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

= 2 / 324

= 2

So, Greatest Common Divisor of 100, 466, 324 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 884, 500, 221
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Given numbers are 100, 466, 324
The greatest common divisor of numbers 100, 466, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 466, 324 is 2.

1. What is the GCD of 100, 466, 324?

GCD of given numbers 100, 466, 324 is 2

2. How to calculate the greatest common divisor of 100, 466, 324?

We can find the highest common divisor of 100, 466, 324 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, 466, 324 i.e 2.

3. How can I use the GCD of 100, 466, 324Calculator?

Out the numbers 100, 466, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.