GCD of 720, 109, 192, 218 Calculator

Given Input numbers are 720, 109, 192, 218

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

GCD of numbers is the greatest common divisor

So, the GCD (720, 109, 192, 218) = 1.

Given numbers are 720, 109, 192, 218

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 109 are 109

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 218 are 2 x 109

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

Given numbers are 720, 109, 192, 218

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

Apply this formula for all numbers.

Step1:

LCM(720, 109) = 78480

GCD(720, 109) = ( 720 x 109 ) / 78480

= 720 / 109

= 720

Step2:

LCM(1, 192) = 192

GCD(1, 192) = ( 1 x 192 ) / 192

= 1 / 192

= 1

Step3:

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

= 1 / 218

= 1

So, Greatest Common Divisor of 720, 109, 192, 218 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 416, 480, 563, 850
• GCD of 851, 180, 457, 691
• GCD of 686, 580, 532, 510
• GCD of 857, 350, 841, 177
• GCD of 282, 791, 162, 484

Given numbers are 720, 109, 192, 218
The greatest common divisor of numbers 720, 109, 192, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 109, 192, 218 is 1.

1. What is the GCD of 720, 109, 192, 218?

GCD of given numbers 720, 109, 192, 218 is 1

2. How to calculate the greatest common divisor of 720, 109, 192, 218?

We can find the highest common divisor of 720, 109, 192, 218 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 720, 109, 192, 218 i.e 1.

3. How can I use the GCD of 720, 109, 192, 218Calculator?

Out the numbers 720, 109, 192, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.