GCD of 170, 216, 712, 831 Calculator

Given Input numbers are 170, 216, 712, 831

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

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

GCD of numbers is the greatest common divisor

So, the GCD (170, 216, 712, 831) = 1.

Given numbers are 170, 216, 712, 831

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 831 are 3 x 277

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

Given numbers are 170, 216, 712, 831

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

Apply this formula for all numbers.

Step1:

LCM(170, 216) = 18360

GCD(170, 216) = ( 170 x 216 ) / 18360

= 170 / 216

= 170

Step2:

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

= 2 / 712

= 2

Step3:

LCM(2, 831) = 1662

GCD(2, 831) = ( 2 x 831 ) / 1662

= 2 / 831

= 2

So, Greatest Common Divisor of 170, 216, 712, 831 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 502, 544, 235, 809
• GCD of 561, 561, 953, 596
• GCD of 788, 831, 887, 428
• GCD of 237, 289, 802, 896
• GCD of 236, 423, 456, 728

Given numbers are 170, 216, 712, 831
The greatest common divisor of numbers 170, 216, 712, 831 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 216, 712, 831 is 1.

1. What is the GCD of 170, 216, 712, 831?

GCD of given numbers 170, 216, 712, 831 is 1

2. How to calculate the greatest common divisor of 170, 216, 712, 831?

We can find the highest common divisor of 170, 216, 712, 831 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 170, 216, 712, 831 i.e 1.

3. How can I use the GCD of 170, 216, 712, 831Calculator?

Out the numbers 170, 216, 712, 831 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.