GCD of 216, 600, 801, 414 Calculator

Given Input numbers are 216, 600, 801, 414

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

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (216, 600, 801, 414) = 3.

Given numbers are 216, 600, 801, 414

The list of prime factors of all numbers are

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

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 801 are 3 x 3 x 89

Prime factors of 414 are 2 x 3 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 216, 600, 801, 414 is 3.

Given numbers are 216, 600, 801, 414

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

Apply this formula for all numbers.

Step1:

LCM(216, 600) = 5400

GCD(216, 600) = ( 216 x 600 ) / 5400

= 216 / 600

= 216

Step2:

LCM(24, 801) = 6408

GCD(24, 801) = ( 24 x 801 ) / 6408

= 24 / 801

= 24

Step3:

LCM(3, 414) = 414

GCD(3, 414) = ( 3 x 414 ) / 414

= 3 / 414

= 3

So, Greatest Common Divisor of 216, 600, 801, 414 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 770, 267, 251, 698
• GCD of 946, 319, 756, 482
• GCD of 165, 896, 290, 879
• GCD of 544, 686, 714, 987
• GCD of 763, 696, 585, 791

Given numbers are 216, 600, 801, 414
The greatest common divisor of numbers 216, 600, 801, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 600, 801, 414 is 3.

1. What is the GCD of 216, 600, 801, 414?

GCD of given numbers 216, 600, 801, 414 is 3

2. How to calculate the greatest common divisor of 216, 600, 801, 414?

We can find the highest common divisor of 216, 600, 801, 414 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 216, 600, 801, 414 i.e 3.

3. How can I use the GCD of 216, 600, 801, 414Calculator?

Out the numbers 216, 600, 801, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.