GCD of 287, 294, 550, 720 Calculator

Given Input numbers are 287, 294, 550, 720

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

Divisors of 287 :

The positive integer divisors of 287 that completely divides 287 are.

1, 7, 41, 287

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

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 (287, 294, 550, 720) = 1.

Given numbers are 287, 294, 550, 720

The list of prime factors of all numbers are

Prime factors of 287 are 7 x 41

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 550 are 2 x 5 x 5 x 11

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 287, 294, 550, 720

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

Apply this formula for all numbers.

Step1:

LCM(287, 294) = 12054

GCD(287, 294) = ( 287 x 294 ) / 12054

= 287 / 294

= 287

Step2:

LCM(7, 550) = 3850

GCD(7, 550) = ( 7 x 550 ) / 3850

= 7 / 550

= 7

Step3:

LCM(1, 720) = 720

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

= 1 / 720

= 1

So, Greatest Common Divisor of 287, 294, 550, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 141, 480, 542, 330
• GCD of 906, 248, 624, 144
• GCD of 607, 434, 779, 470
• GCD of 690, 908, 739, 531
• GCD of 360, 148, 529, 232

Given numbers are 287, 294, 550, 720
The greatest common divisor of numbers 287, 294, 550, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 287, 294, 550, 720 is 1.

1. What is the GCD of 287, 294, 550, 720?

GCD of given numbers 287, 294, 550, 720 is 1

2. How to calculate the greatest common divisor of 287, 294, 550, 720?

We can find the highest common divisor of 287, 294, 550, 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 287, 294, 550, 720 i.e 1.

3. How can I use the GCD of 287, 294, 550, 720Calculator?

Out the numbers 287, 294, 550, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.