GCD of 220, 789, 509, 816 Calculator

Given Input numbers are 220, 789, 509, 816

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

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

GCD of numbers is the greatest common divisor

So, the GCD (220, 789, 509, 816) = 1.

Given numbers are 220, 789, 509, 816

The list of prime factors of all numbers are

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 789 are 3 x 263

Prime factors of 509 are 509

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

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

Given numbers are 220, 789, 509, 816

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

Apply this formula for all numbers.

Step1:

LCM(220, 789) = 173580

GCD(220, 789) = ( 220 x 789 ) / 173580

= 220 / 789

= 220

Step2:

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

= 1 / 509

= 1

Step3:

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

= 1 / 816

= 1

So, Greatest Common Divisor of 220, 789, 509, 816 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 286, 492, 579, 732
• GCD of 366, 675, 810, 157
• GCD of 368, 101, 523, 385
• GCD of 726, 808, 513, 985
• GCD of 999, 184, 511, 254

Given numbers are 220, 789, 509, 816
The greatest common divisor of numbers 220, 789, 509, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 789, 509, 816 is 1.

1. What is the GCD of 220, 789, 509, 816?

GCD of given numbers 220, 789, 509, 816 is 1

2. How to calculate the greatest common divisor of 220, 789, 509, 816?

We can find the highest common divisor of 220, 789, 509, 816 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 220, 789, 509, 816 i.e 1.

3. How can I use the GCD of 220, 789, 509, 816Calculator?

Out the numbers 220, 789, 509, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.