GCD of 872, 217, 460, 720 Calculator

Given Input numbers are 872, 217, 460, 720

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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 (872, 217, 460, 720) = 1.

Given numbers are 872, 217, 460, 720

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 217 are 7 x 31

Prime factors of 460 are 2 x 2 x 5 x 23

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 872, 217, 460, 720

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

Apply this formula for all numbers.

Step1:

LCM(872, 217) = 189224

GCD(872, 217) = ( 872 x 217 ) / 189224

= 872 / 217

= 872

Step2:

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

= 1 / 460

= 1

Step3:

LCM(1, 720) = 720

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

= 1 / 720

= 1

So, Greatest Common Divisor of 872, 217, 460, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 818, 558, 270, 181
• GCD of 669, 124, 735, 898
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• GCD of 412, 631, 265, 365
• GCD of 841, 214, 464, 810

Given numbers are 872, 217, 460, 720
The greatest common divisor of numbers 872, 217, 460, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 217, 460, 720 is 1.

1. What is the GCD of 872, 217, 460, 720?

GCD of given numbers 872, 217, 460, 720 is 1

2. How to calculate the greatest common divisor of 872, 217, 460, 720?

We can find the highest common divisor of 872, 217, 460, 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 872, 217, 460, 720 i.e 1.

3. How can I use the GCD of 872, 217, 460, 720Calculator?

Out the numbers 872, 217, 460, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.