GCD of 821, 180, 283, 216 Calculator

Given Input numbers are 821, 180, 283, 216

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

Divisors of 821 :

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

1, 821

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 283 :

The positive integer divisors of 283 that completely divides 283 are.

1, 283

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 (821, 180, 283, 216) = 1.

Given numbers are 821, 180, 283, 216

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 283 are 283

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

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

Given numbers are 821, 180, 283, 216

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

Apply this formula for all numbers.

Step1:

LCM(821, 180) = 147780

GCD(821, 180) = ( 821 x 180 ) / 147780

= 821 / 180

= 821

Step2:

LCM(1, 283) = 283

GCD(1, 283) = ( 1 x 283 ) / 283

= 1 / 283

= 1

Step3:

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

= 1 / 216

= 1

So, Greatest Common Divisor of 821, 180, 283, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 648, 284, 627, 421
• GCD of 499, 979, 107, 993
• GCD of 290, 701, 367, 318
• GCD of 302, 727, 361, 835
• GCD of 282, 815, 730, 436

Given numbers are 821, 180, 283, 216
The greatest common divisor of numbers 821, 180, 283, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 180, 283, 216 is 1.

1. What is the GCD of 821, 180, 283, 216?

GCD of given numbers 821, 180, 283, 216 is 1

2. How to calculate the greatest common divisor of 821, 180, 283, 216?

We can find the highest common divisor of 821, 180, 283, 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 821, 180, 283, 216 i.e 1.

3. How can I use the GCD of 821, 180, 283, 216Calculator?

Out the numbers 821, 180, 283, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.