GCD of 814, 720, 384, 745 Calculator

Given Input numbers are 814, 720, 384, 745

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

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 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

GCD of numbers is the greatest common divisor

So, the GCD (814, 720, 384, 745) = 1.

Given numbers are 814, 720, 384, 745

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

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

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 745 are 5 x 149

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

Given numbers are 814, 720, 384, 745

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

Apply this formula for all numbers.

Step1:

LCM(814, 720) = 293040

GCD(814, 720) = ( 814 x 720 ) / 293040

= 814 / 720

= 814

Step2:

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

= 2 / 384

= 2

Step3:

LCM(2, 745) = 1490

GCD(2, 745) = ( 2 x 745 ) / 1490

= 2 / 745

= 2

So, Greatest Common Divisor of 814, 720, 384, 745 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 634, 343, 312
• GCD of 252, 878, 447, 842
• GCD of 815, 329, 710, 913
• GCD of 613, 531, 179, 146
• GCD of 816, 368, 317, 841

Given numbers are 814, 720, 384, 745
The greatest common divisor of numbers 814, 720, 384, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 720, 384, 745 is 1.

1. What is the GCD of 814, 720, 384, 745?

GCD of given numbers 814, 720, 384, 745 is 1

2. How to calculate the greatest common divisor of 814, 720, 384, 745?

We can find the highest common divisor of 814, 720, 384, 745 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 814, 720, 384, 745 i.e 1.

3. How can I use the GCD of 814, 720, 384, 745Calculator?

Out the numbers 814, 720, 384, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.