GCD of 819, 120, 20, 270 Calculator

Given Input numbers are 819, 120, 20, 270

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

Divisors of 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (819, 120, 20, 270) = 1.

Given numbers are 819, 120, 20, 270

The list of prime factors of all numbers are

Prime factors of 819 are 3 x 3 x 7 x 13

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 20 are 2 x 2 x 5

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

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

Given numbers are 819, 120, 20, 270

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

Apply this formula for all numbers.

Step1:

LCM(819, 120) = 32760

GCD(819, 120) = ( 819 x 120 ) / 32760

= 819 / 120

= 819

Step2:

LCM(3, 20) = 60

GCD(3, 20) = ( 3 x 20 ) / 60

= 3 / 20

= 3

Step3:

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

= 1 / 270

= 1

So, Greatest Common Divisor of 819, 120, 20, 270 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 696, 356, 27, 609
• GCD of 953, 890, 88, 985
• GCD of 883, 408, 78, 672
• GCD of 626, 770, 41, 277
• GCD of 122, 692, 77, 890

Given numbers are 819, 120, 20, 270
The greatest common divisor of numbers 819, 120, 20, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 819, 120, 20, 270 is 1.

1. What is the GCD of 819, 120, 20, 270?

GCD of given numbers 819, 120, 20, 270 is 1

2. How to calculate the greatest common divisor of 819, 120, 20, 270?

We can find the highest common divisor of 819, 120, 20, 270 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 819, 120, 20, 270 i.e 1.

3. How can I use the GCD of 819, 120, 20, 270Calculator?

Out the numbers 819, 120, 20, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.