GCD of 100, 612, 288, 216 Calculator

Given Input numbers are 100, 612, 288, 216

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

GCD of numbers is the greatest common divisor

So, the GCD (100, 612, 288, 216) = 4.

Given numbers are 100, 612, 288, 216

The list of prime factors of all numbers are

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

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2²

Therefore, GCD of 100, 612, 288, 216 is 4.

Given numbers are 100, 612, 288, 216

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

Apply this formula for all numbers.

Step1:

LCM(100, 612) = 15300

GCD(100, 612) = ( 100 x 612 ) / 15300

= 100 / 612

= 100

Step2:

LCM(4, 288) = 288

GCD(4, 288) = ( 4 x 288 ) / 288

= 4 / 288

= 4

Step3:

LCM(4, 216) = 216

GCD(4, 216) = ( 4 x 216 ) / 216

= 4 / 216

= 4

So, Greatest Common Divisor of 100, 612, 288, 216 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 770, 690, 298, 985
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• GCD of 319, 560, 613, 746
• GCD of 960, 348, 558, 682

Given numbers are 100, 612, 288, 216
The greatest common divisor of numbers 100, 612, 288, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 612, 288, 216 is 4.

1. What is the GCD of 100, 612, 288, 216?

GCD of given numbers 100, 612, 288, 216 is 4

2. How to calculate the greatest common divisor of 100, 612, 288, 216?

We can find the highest common divisor of 100, 612, 288, 216 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, 612, 288, 216 i.e 4.

3. How can I use the GCD of 100, 612, 288, 216Calculator?

Out the numbers 100, 612, 288, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.