GCD of 126, 286, 459, 720 Calculator

Given Input numbers are 126, 286, 459, 720

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

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 (126, 286, 459, 720) = 1.

Given numbers are 126, 286, 459, 720

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 286 are 2 x 11 x 13

Prime factors of 459 are 3 x 3 x 3 x 17

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 126, 286, 459, 720

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

Apply this formula for all numbers.

Step1:

LCM(126, 286) = 18018

GCD(126, 286) = ( 126 x 286 ) / 18018

= 126 / 286

= 126

Step2:

LCM(2, 459) = 918

GCD(2, 459) = ( 2 x 459 ) / 918

= 2 / 459

= 2

Step3:

LCM(1, 720) = 720

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

= 1 / 720

= 1

So, Greatest Common Divisor of 126, 286, 459, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 981, 128, 979, 577
• GCD of 817, 107, 170, 200
• GCD of 464, 797, 766, 904
• GCD of 654, 609, 949, 354
• GCD of 264, 214, 811, 472

Given numbers are 126, 286, 459, 720
The greatest common divisor of numbers 126, 286, 459, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 286, 459, 720 is 1.

1. What is the GCD of 126, 286, 459, 720?

GCD of given numbers 126, 286, 459, 720 is 1

2. How to calculate the greatest common divisor of 126, 286, 459, 720?

We can find the highest common divisor of 126, 286, 459, 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 126, 286, 459, 720 i.e 1.

3. How can I use the GCD of 126, 286, 459, 720Calculator?

Out the numbers 126, 286, 459, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.