GCD of 867, 493, 716, 271 Calculator

Given Input numbers are 867, 493, 716, 271

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

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

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 (867, 493, 716, 271) = 1.

Given numbers are 867, 493, 716, 271

The list of prime factors of all numbers are

Prime factors of 867 are 3 x 17 x 17

Prime factors of 493 are 17 x 29

Prime factors of 716 are 2 x 2 x 179

Prime factors of 271 are 271

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

Given numbers are 867, 493, 716, 271

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

Apply this formula for all numbers.

Step1:

LCM(867, 493) = 25143

GCD(867, 493) = ( 867 x 493 ) / 25143

= 867 / 493

= 867

Step2:

LCM(17, 716) = 12172

GCD(17, 716) = ( 17 x 716 ) / 12172

= 17 / 716

= 17

Step3:

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

= 1 / 271

= 1

So, Greatest Common Divisor of 867, 493, 716, 271 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 764, 256, 455
• GCD of 947, 487, 111, 538
• GCD of 753, 518, 611, 980
• GCD of 521, 586, 330, 396
• GCD of 367, 603, 248, 231

Given numbers are 867, 493, 716, 271
The greatest common divisor of numbers 867, 493, 716, 271 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 867, 493, 716, 271 is 1.

1. What is the GCD of 867, 493, 716, 271?

GCD of given numbers 867, 493, 716, 271 is 1

2. How to calculate the greatest common divisor of 867, 493, 716, 271?

We can find the highest common divisor of 867, 493, 716, 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 867, 493, 716, 271 i.e 1.

3. How can I use the GCD of 867, 493, 716, 271Calculator?

Out the numbers 867, 493, 716, 271 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.