GCD of 724, 864, 800, 271 Calculator

Given Input numbers are 724, 864, 800, 271

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

GCD of numbers is the greatest common divisor

So, the GCD (724, 864, 800, 271) = 1.

Given numbers are 724, 864, 800, 271

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 271 are 271

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

Given numbers are 724, 864, 800, 271

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

Apply this formula for all numbers.

Step1:

LCM(724, 864) = 156384

GCD(724, 864) = ( 724 x 864 ) / 156384

= 724 / 864

= 724

Step2:

LCM(4, 800) = 800

GCD(4, 800) = ( 4 x 800 ) / 800

= 4 / 800

= 4

Step3:

LCM(4, 271) = 1084

GCD(4, 271) = ( 4 x 271 ) / 1084

= 4 / 271

= 4

So, Greatest Common Divisor of 724, 864, 800, 271 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 749, 921, 550, 125
• GCD of 328, 558, 876, 861
• GCD of 341, 439, 431, 395
• GCD of 947, 586, 407, 308
• GCD of 512, 487, 646, 133

Given numbers are 724, 864, 800, 271
The greatest common divisor of numbers 724, 864, 800, 271 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 864, 800, 271 is 1.

1. What is the GCD of 724, 864, 800, 271?

GCD of given numbers 724, 864, 800, 271 is 1

2. How to calculate the greatest common divisor of 724, 864, 800, 271?

We can find the highest common divisor of 724, 864, 800, 271 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 724, 864, 800, 271 i.e 1.

3. How can I use the GCD of 724, 864, 800, 271Calculator?

Out the numbers 724, 864, 800, 271 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.