GCD of 216, 600, 821, 779 Calculator

Given Input numbers are 216, 600, 821, 779

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 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 779 :

The positive integer divisors of 779 that completely divides 779 are.

1, 19, 41, 779

GCD of numbers is the greatest common divisor

So, the GCD (216, 600, 821, 779) = 1.

Given numbers are 216, 600, 821, 779

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 821 are 821

Prime factors of 779 are 19 x 41

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 216, 600, 821, 779

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, 821) = 19704

GCD(24, 821) = ( 24 x 821 ) / 19704

= 24 / 821

= 24

Step3:

LCM(1, 779) = 779

GCD(1, 779) = ( 1 x 779 ) / 779

= 1 / 779

= 1

So, Greatest Common Divisor of 216, 600, 821, 779 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 197, 261, 506, 309
• GCD of 653, 699, 319, 232
• GCD of 912, 250, 974, 508
• GCD of 823, 363, 708, 412
• GCD of 840, 183, 514, 684

Given numbers are 216, 600, 821, 779
The greatest common divisor of numbers 216, 600, 821, 779 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 600, 821, 779 is 1.

1. What is the GCD of 216, 600, 821, 779?

GCD of given numbers 216, 600, 821, 779 is 1

2. How to calculate the greatest common divisor of 216, 600, 821, 779?

We can find the highest common divisor of 216, 600, 821, 779 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, 821, 779 i.e 1.

3. How can I use the GCD of 216, 600, 821, 779Calculator?

Out the numbers 216, 600, 821, 779 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.