GCD of 456, 110, 731, 720 Calculator

Given Input numbers are 456, 110, 731, 720

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

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

GCD of numbers is the greatest common divisor

So, the GCD (456, 110, 731, 720) = 1.

Given numbers are 456, 110, 731, 720

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 110 are 2 x 5 x 11

Prime factors of 731 are 17 x 43

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

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

Given numbers are 456, 110, 731, 720

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

Apply this formula for all numbers.

Step1:

LCM(456, 110) = 25080

GCD(456, 110) = ( 456 x 110 ) / 25080

= 456 / 110

= 456

Step2:

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

= 2 / 731

= 2

Step3:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1

So, Greatest Common Divisor of 456, 110, 731, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 815, 499, 789, 102
• GCD of 569, 208, 975, 943
• GCD of 762, 727, 139, 521
• GCD of 204, 652, 644, 687
• GCD of 312, 975, 529, 927

Given numbers are 456, 110, 731, 720
The greatest common divisor of numbers 456, 110, 731, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 110, 731, 720 is 1.

1. What is the GCD of 456, 110, 731, 720?

GCD of given numbers 456, 110, 731, 720 is 1

2. How to calculate the greatest common divisor of 456, 110, 731, 720?

We can find the highest common divisor of 456, 110, 731, 720 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 456, 110, 731, 720 i.e 1.

3. How can I use the GCD of 456, 110, 731, 720Calculator?

Out the numbers 456, 110, 731, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.